{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "29d0063c",
   "metadata": {},
   "source": [
    "# Optional Lab: Feature scaling and Learning Rate (Multi-variable)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c574bc44",
   "metadata": {},
   "source": [
    "## Goals\n",
    "In this lab you will:\n",
    "- Utilize  the multiple variables routines developed in the previous lab\n",
    "- run Gradient Descent on a data set with multiple features\n",
    "- explore the impact of the *learning rate alpha* on gradient descent\n",
    "- improve performance of gradient descent by *feature scaling* using z-score normalization"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8471a5e9",
   "metadata": {},
   "source": [
    "## Tools\n",
    "You will utilize the functions developed in the last lab as well as matplotlib and NumPy. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c74000ee",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-06-17T05:04:21.616399Z",
     "start_time": "2022-06-17T05:04:20.504896Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "np.set_printoptions(precision=2)\n",
    "import matplotlib.pyplot as plt\n",
    "dlblue = '#0096ff'; dlorange = '#FF9300'; dldarkred='#C00000'; dlmagenta='#FF40FF'; dlpurple='#7030A0'; \n",
    "plt.style.use('./deeplearning.mplstyle')\n",
    "from lab_utils_multi import  load_house_data, compute_cost, run_gradient_descent \n",
    "from lab_utils_multi import  norm_plot, plt_contour_multi, plt_equal_scale, plot_cost_i_w"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "15dc562f",
   "metadata": {},
   "source": [
    "## Notation\n",
    "\n",
    "|General <img width=70/> <br />  Notation  <img width=70/> | Description<img width=350/>| Python (if applicable) |\n",
    "|: ------------|: ------------------------------------------------------------||\n",
    "| $a$ | scalar, non bold                                                      ||\n",
    "| $\\mathbf{a}$ | vector, bold                                                 ||\n",
    "| $\\mathbf{A}$ | matrix, bold capital                                         ||\n",
    "| **Regression** |         |    |     |\n",
    "|  $\\mathbf{X}$ | training example maxtrix                  | `X_train` |   \n",
    "|  $\\mathbf{y}$  | training example  targets                | `y_train` \n",
    "|  $\\mathbf{x}^{(i)}$, $y^{(i)}$ | $i_{th}$Training Example | `X[i]`, `y[i]`|\n",
    "| m | number of training examples | `m`|\n",
    "| n | number of features in each example | `n`|\n",
    "|  $\\mathbf{w}$  |  parameter: weight,                       | `w`    |\n",
    "|  $b$           |  parameter: bias                                           | `b`    |     \n",
    "| $f_{\\mathbf{w},b}(\\mathbf{x}^{(i)})$ | The result of the model evaluation at  $\\mathbf{x}^{(i)}$ parameterized by $\\mathbf{w},b$: $f_{\\mathbf{w},b}(\\mathbf{x}^{(i)}) = \\mathbf{w} \\cdot \\mathbf{x}^{(i)}+b$  | `f_wb` | \n",
    "|$\\frac{\\partial J(\\mathbf{w},b)}{\\partial w_j}$| the gradient or partial derivative of cost with respect to a parameter $w_j$ |`dj_dw[j]`| \n",
    "|$\\frac{\\partial J(\\mathbf{w},b)}{\\partial b}$| the gradient or partial derivative of cost with respect to a parameter $b$| `dj_db`|"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d6353c9d",
   "metadata": {},
   "source": [
    "#  Problem Statement\n",
    "\n",
    "As in the previous labs, you will use the motivating example of housing price prediction. The training data set contains many examples with 4 features (size, bedrooms, floors and age) shown in the table below. Note, in this lab, the Size feature is in sqft while earlier labs utilized 1000 sqft.  This data set is larger than the previous lab.\n",
    "\n",
    "We would like to build a linear regression model using these values so we can then predict the price for other houses - say, a house with 1200 sqft, 3 bedrooms, 1 floor, 40 years old. \n",
    "\n",
    "##  Dataset: \n",
    "| Size (sqft) | Number of Bedrooms  | Number of floors | Age of  Home | Price (1000s dollars)  |   \n",
    "| ----------------| ------------------- |----------------- |--------------|----------------------- |  \n",
    "| 952             | 2                   | 1                | 65           | 271.5                  |  \n",
    "| 1244            | 3                   | 2                | 64           | 232                    |  \n",
    "| 1947            | 3                   | 2                | 17           | 509.8                  |  \n",
    "| ...             | ...                 | ...              | ...          | ...                    |\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "51da3c81",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-06-17T05:04:21.632460Z",
     "start_time": "2022-06-17T05:04:21.618382Z"
    }
   },
   "outputs": [],
   "source": [
    "# load the dataset\n",
    "X_train, y_train = load_house_data()\n",
    "X_features = ['size(sqft)','bedrooms','floors','age']"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f038227a",
   "metadata": {},
   "source": [
    "Let's view the dataset and its features by plotting each feature versus price."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "0b6ffd5c",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-06-17T05:04:21.902321Z",
     "start_time": "2022-06-17T05:04:21.635500Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax=plt.subplots(1, 4, figsize=(12, 3), sharey=True)\n",
    "for i in range(len(ax)):\n",
    "    ax[i].scatter(X_train[:,i],y_train)\n",
    "    ax[i].set_xlabel(X_features[i])\n",
    "ax[0].set_ylabel(\"Price (1000's)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b6e54d38",
   "metadata": {},
   "source": [
    "Plotting each feature vs. the target, price, provides some indication of which features have the strongest influence on price. Above, increasing size also increases price. Bedrooms and floors don't seem to have a strong impact on price. Newer houses have higher prices than older houses."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8c632e9a",
   "metadata": {},
   "source": [
    "<a name=\"toc_15456_5\"></a>\n",
    "## Gradient Descent With Multiple Variables\n",
    "Here are the equations you developed in the last lab on gradient descent for multiple variables.:\n",
    "\n",
    "$$\\begin{align*} \\text{repeat}&\\text{ until convergence:} \\; \\lbrace \\newline\\;\n",
    "& w_j := w_j -  \\alpha \\frac{\\partial J(\\mathbf{w},b)}{\\partial w_j} \\tag{1}  \\; & \\text{for j = 0..n-1}\\newline\n",
    "&b\\ \\ := b -  \\alpha \\frac{\\partial J(\\mathbf{w},b)}{\\partial b}  \\newline \\rbrace\n",
    "\\end{align*}$$\n",
    "\n",
    "where, n is the number of features, parameters $w_j$,  $b$, are updated simultaneously and where  \n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    "\\frac{\\partial J(\\mathbf{w},b)}{\\partial w_j}  &= \\frac{1}{m} \\sum\\limits_{i = 0}^{m-1} (f_{\\mathbf{w},b}(\\mathbf{x}^{(i)}) - y^{(i)})x_{j}^{(i)} \\tag{2}  \\\\\n",
    "\\frac{\\partial J(\\mathbf{w},b)}{\\partial b}  &= \\frac{1}{m} \\sum\\limits_{i = 0}^{m-1} (f_{\\mathbf{w},b}(\\mathbf{x}^{(i)}) - y^{(i)}) \\tag{3}\n",
    "\\end{align}\n",
    "$$\n",
    "* m is the number of training examples in the data set\n",
    "\n",
    "    \n",
    "*  $f_{\\mathbf{w},b}(\\mathbf{x}^{(i)})$ is the model's prediction, while $y^{(i)}$ is the target value\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b25f9eb3",
   "metadata": {},
   "source": [
    "## Learning Rate\n",
    "<figure>\n",
    "    <img src=\"../work/images/C1_W2_Lab06_learningrate.PNG\" style=\"width:1200px;\" >\n",
    "</figure>\n",
    "The lectures discussed some of the issues related to setting the learning rate $\\alpha$. The learning rate controls the size of the update to the parameters. See equation (1) above. It is shared by all the parameters.  \n",
    "\n",
    "Let's run gradient descent and try a few settings of $\\alpha$ on our data set"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0c6cd092",
   "metadata": {},
   "source": [
    "### $\\alpha$ = 9.9e-7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "45ab3e05",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-06-17T05:04:21.918318Z",
     "start_time": "2022-06-17T05:04:21.905323Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration Cost          w0       w1       w2       w3       b       djdw0    djdw1    djdw2    djdw3    djdb  \n",
      "---------------------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|\n",
      "        0 9.55884e+04  5.5e-01  1.0e-03  5.1e-04  1.2e-02  3.6e-04 -5.5e+05 -1.0e+03 -5.2e+02 -1.2e+04 -3.6e+02\n",
      "        1 1.28213e+05 -8.8e-02 -1.7e-04 -1.0e-04 -3.4e-03 -4.8e-05  6.4e+05  1.2e+03  6.2e+02  1.6e+04  4.1e+02\n",
      "        2 1.72159e+05  6.5e-01  1.2e-03  5.9e-04  1.3e-02  4.3e-04 -7.4e+05 -1.4e+03 -7.0e+02 -1.7e+04 -4.9e+02\n",
      "        3 2.31358e+05 -2.1e-01 -4.0e-04 -2.3e-04 -7.5e-03 -1.2e-04  8.6e+05  1.6e+03  8.3e+02  2.1e+04  5.6e+02\n",
      "        4 3.11100e+05  7.9e-01  1.4e-03  7.1e-04  1.5e-02  5.3e-04 -1.0e+06 -1.8e+03 -9.5e+02 -2.3e+04 -6.6e+02\n",
      "        5 4.18517e+05 -3.7e-01 -7.1e-04 -4.0e-04 -1.3e-02 -2.1e-04  1.2e+06  2.1e+03  1.1e+03  2.8e+04  7.5e+02\n",
      "        6 5.63212e+05  9.7e-01  1.7e-03  8.7e-04  1.8e-02  6.6e-04 -1.3e+06 -2.5e+03 -1.3e+03 -3.1e+04 -8.8e+02\n",
      "        7 7.58122e+05 -5.8e-01 -1.1e-03 -6.2e-04 -1.9e-02 -3.4e-04  1.6e+06  2.9e+03  1.5e+03  3.8e+04  1.0e+03\n",
      "        8 1.02068e+06  1.2e+00  2.2e-03  1.1e-03  2.3e-02  8.3e-04 -1.8e+06 -3.3e+03 -1.7e+03 -4.2e+04 -1.2e+03\n",
      "        9 1.37435e+06 -8.7e-01 -1.7e-03 -9.1e-04 -2.7e-02 -5.2e-04  2.1e+06  3.9e+03  2.0e+03  5.1e+04  1.4e+03\n",
      "w,b found by gradient descent: w: [-0.87 -0.   -0.   -0.03], b: -0.00\n",
      "Iteration Cost          w0       w1       w2       w3       b       djdw0    djdw1    djdw2    djdw3    djdb  \n",
      "---------------------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|\n",
      "        0 9.55884e+04  5.5e-01  1.0e-03  5.1e-04  1.2e-02  3.6e-04 -5.5e+05 -1.0e+03 -5.2e+02 -1.2e+04 -3.6e+02\n",
      "        1 1.28213e+05 -8.8e-02 -1.7e-04 -1.0e-04 -3.4e-03 -4.8e-05  6.4e+05  1.2e+03  6.2e+02  1.6e+04  4.1e+02\n",
      "        2 1.72159e+05  6.5e-01  1.2e-03  5.9e-04  1.3e-02  4.3e-04 -7.4e+05 -1.4e+03 -7.0e+02 -1.7e+04 -4.9e+02\n",
      "        3 2.31358e+05 -2.1e-01 -4.0e-04 -2.3e-04 -7.5e-03 -1.2e-04  8.6e+05  1.6e+03  8.3e+02  2.1e+04  5.6e+02\n",
      "        4 3.11100e+05  7.9e-01  1.4e-03  7.1e-04  1.5e-02  5.3e-04 -1.0e+06 -1.8e+03 -9.5e+02 -2.3e+04 -6.6e+02\n",
      "        5 4.18517e+05 -3.7e-01 -7.1e-04 -4.0e-04 -1.3e-02 -2.1e-04  1.2e+06  2.1e+03  1.1e+03  2.8e+04  7.5e+02\n",
      "        6 5.63212e+05  9.7e-01  1.7e-03  8.7e-04  1.8e-02  6.6e-04 -1.3e+06 -2.5e+03 -1.3e+03 -3.1e+04 -8.8e+02\n",
      "        7 7.58122e+05 -5.8e-01 -1.1e-03 -6.2e-04 -1.9e-02 -3.4e-04  1.6e+06  2.9e+03  1.5e+03  3.8e+04  1.0e+03\n",
      "        8 1.02068e+06  1.2e+00  2.2e-03  1.1e-03  2.3e-02  8.3e-04 -1.8e+06 -3.3e+03 -1.7e+03 -4.2e+04 -1.2e+03\n",
      "        9 1.37435e+06 -8.7e-01 -1.7e-03 -9.1e-04 -2.7e-02 -5.2e-04  2.1e+06  3.9e+03  2.0e+03  5.1e+04  1.4e+03\n",
      "w,b found by gradient descent: w: [-0.87 -0.   -0.   -0.03], b: -0.00\n"
     ]
    }
   ],
   "source": [
    "#set alpha to 9.9e-7\n",
    "_, _, hist = run_gradient_descent(X_train, y_train, 10, alpha = 9.9e-7)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3f97522f",
   "metadata": {},
   "source": [
    "It appears the learning rate is too high.  The solution does not converge. Cost is *increasing* rather than decreasing. Let's plot the result:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "abc1b020",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-06-17T05:04:22.090358Z",
     "start_time": "2022-06-17T05:04:21.920319Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_cost_i_w(X_train, y_train, hist)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9178ba7f",
   "metadata": {},
   "source": [
    "The plot on the right shows the value of one of the parameters, $w_0$. At each iteration, it is overshooting the optimal value and as a result, cost ends up *increasing* rather than approaching the minimum. Note that this is not a completely accurate picture as there are 4 parameters being modified each pass rather than just one. This plot is only showing $w_0$ with the other parameters fixed at benign values. In this and later plots you may notice the blue and orange lines being slightly off."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "122355dd",
   "metadata": {},
   "source": [
    "\n",
    "### $\\alpha$ = 9e-7\n",
    "Let's try a bit smaller value and see what happens."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "888eefee",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-06-17T05:04:22.105367Z",
     "start_time": "2022-06-17T05:04:22.092366Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration Cost          w0       w1       w2       w3       b       djdw0    djdw1    djdw2    djdw3    djdb  \n",
      "---------------------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|\n",
      "        0 6.64616e+04  5.0e-01  9.1e-04  4.7e-04  1.1e-02  3.3e-04 -5.5e+05 -1.0e+03 -5.2e+02 -1.2e+04 -3.6e+02\n",
      "        1 6.18990e+04  1.8e-02  2.1e-05  2.0e-06 -7.9e-04  1.9e-05  5.3e+05  9.8e+02  5.2e+02  1.3e+04  3.4e+02\n",
      "        2 5.76572e+04  4.8e-01  8.6e-04  4.4e-04  9.5e-03  3.2e-04 -5.1e+05 -9.3e+02 -4.8e+02 -1.1e+04 -3.4e+02\n",
      "        3 5.37137e+04  3.4e-02  3.9e-05  2.8e-06 -1.6e-03  3.8e-05  4.9e+05  9.1e+02  4.8e+02  1.2e+04  3.2e+02\n",
      "        4 5.00474e+04  4.6e-01  8.2e-04  4.1e-04  8.0e-03  3.2e-04 -4.8e+05 -8.7e+02 -4.5e+02 -1.1e+04 -3.1e+02\n",
      "        5 4.66388e+04  5.0e-02  5.6e-05  2.5e-06 -2.4e-03  5.6e-05  4.6e+05  8.5e+02  4.5e+02  1.2e+04  2.9e+02\n",
      "        6 4.34700e+04  4.5e-01  7.8e-04  3.8e-04  6.4e-03  3.2e-04 -4.4e+05 -8.1e+02 -4.2e+02 -9.8e+03 -2.9e+02\n",
      "        7 4.05239e+04  6.4e-02  7.0e-05  1.2e-06 -3.3e-03  7.3e-05  4.3e+05  7.9e+02  4.2e+02  1.1e+04  2.7e+02\n",
      "        8 3.77849e+04  4.4e-01  7.5e-04  3.5e-04  4.9e-03  3.2e-04 -4.1e+05 -7.5e+02 -3.9e+02 -9.1e+03 -2.7e+02\n",
      "        9 3.52385e+04  7.7e-02  8.3e-05 -1.1e-06 -4.2e-03  8.9e-05  4.0e+05  7.4e+02  3.9e+02  1.0e+04  2.5e+02\n",
      "w,b found by gradient descent: w: [ 7.74e-02  8.27e-05 -1.06e-06 -4.20e-03], b: 0.00\n",
      "Iteration Cost          w0       w1       w2       w3       b       djdw0    djdw1    djdw2    djdw3    djdb  \n",
      "---------------------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|\n",
      "        0 6.64616e+04  5.0e-01  9.1e-04  4.7e-04  1.1e-02  3.3e-04 -5.5e+05 -1.0e+03 -5.2e+02 -1.2e+04 -3.6e+02\n",
      "        1 6.18990e+04  1.8e-02  2.1e-05  2.0e-06 -7.9e-04  1.9e-05  5.3e+05  9.8e+02  5.2e+02  1.3e+04  3.4e+02\n",
      "        2 5.76572e+04  4.8e-01  8.6e-04  4.4e-04  9.5e-03  3.2e-04 -5.1e+05 -9.3e+02 -4.8e+02 -1.1e+04 -3.4e+02\n",
      "        3 5.37137e+04  3.4e-02  3.9e-05  2.8e-06 -1.6e-03  3.8e-05  4.9e+05  9.1e+02  4.8e+02  1.2e+04  3.2e+02\n",
      "        4 5.00474e+04  4.6e-01  8.2e-04  4.1e-04  8.0e-03  3.2e-04 -4.8e+05 -8.7e+02 -4.5e+02 -1.1e+04 -3.1e+02\n",
      "        5 4.66388e+04  5.0e-02  5.6e-05  2.5e-06 -2.4e-03  5.6e-05  4.6e+05  8.5e+02  4.5e+02  1.2e+04  2.9e+02\n",
      "        6 4.34700e+04  4.5e-01  7.8e-04  3.8e-04  6.4e-03  3.2e-04 -4.4e+05 -8.1e+02 -4.2e+02 -9.8e+03 -2.9e+02\n",
      "        7 4.05239e+04  6.4e-02  7.0e-05  1.2e-06 -3.3e-03  7.3e-05  4.3e+05  7.9e+02  4.2e+02  1.1e+04  2.7e+02\n",
      "        8 3.77849e+04  4.4e-01  7.5e-04  3.5e-04  4.9e-03  3.2e-04 -4.1e+05 -7.5e+02 -3.9e+02 -9.1e+03 -2.7e+02\n",
      "        9 3.52385e+04  7.7e-02  8.3e-05 -1.1e-06 -4.2e-03  8.9e-05  4.0e+05  7.4e+02  3.9e+02  1.0e+04  2.5e+02\n",
      "w,b found by gradient descent: w: [ 7.74e-02  8.27e-05 -1.06e-06 -4.20e-03], b: 0.00\n"
     ]
    }
   ],
   "source": [
    "#set alpha to 9e-7\n",
    "_,_,hist = run_gradient_descent(X_train, y_train, 10, alpha = 9e-7)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cceffe95",
   "metadata": {},
   "source": [
    "Cost is decreasing throughout the run showing that alpha is not too large. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "68a1b8cb",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-06-17T05:04:22.264394Z",
     "start_time": "2022-06-17T05:04:22.107361Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_cost_i_w(X_train, y_train, hist)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a5ad03b2",
   "metadata": {},
   "source": [
    "On the left, you see that cost is decreasing as it should. On the right, you can see that $w_0$ is still oscillating around the minimum, but it is decreasing each iteration rather than increasing. Note above that `dj_dw[0]` changes sign with each iteration as `w[0]` jumps over the optimal value.\n",
    "This alpha value will converge. You can vary the number of iterations to see how it behaves."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "98dd3412",
   "metadata": {},
   "source": [
    "### $\\alpha$ = 1e-7\n",
    "Let's try a bit smaller value for $\\alpha$ and see what happens."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "4d897a41",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-06-17T05:04:22.279398Z",
     "start_time": "2022-06-17T05:04:22.266395Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration Cost          w0       w1       w2       w3       b       djdw0    djdw1    djdw2    djdw3    djdb  \n",
      "---------------------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|\n",
      "        0 4.42313e+04  5.5e-02  1.0e-04  5.2e-05  1.2e-03  3.6e-05 -5.5e+05 -1.0e+03 -5.2e+02 -1.2e+04 -3.6e+02\n",
      "        1 2.76461e+04  9.8e-02  1.8e-04  9.2e-05  2.2e-03  6.5e-05 -4.3e+05 -7.9e+02 -4.0e+02 -9.5e+03 -2.8e+02\n",
      "        2 1.75102e+04  1.3e-01  2.4e-04  1.2e-04  2.9e-03  8.7e-05 -3.4e+05 -6.1e+02 -3.1e+02 -7.3e+03 -2.2e+02\n",
      "        3 1.13157e+04  1.6e-01  2.9e-04  1.5e-04  3.5e-03  1.0e-04 -2.6e+05 -4.8e+02 -2.4e+02 -5.6e+03 -1.8e+02\n",
      "        4 7.53002e+03  1.8e-01  3.3e-04  1.7e-04  3.9e-03  1.2e-04 -2.1e+05 -3.7e+02 -1.9e+02 -4.2e+03 -1.4e+02\n",
      "        5 5.21639e+03  2.0e-01  3.5e-04  1.8e-04  4.2e-03  1.3e-04 -1.6e+05 -2.9e+02 -1.5e+02 -3.1e+03 -1.1e+02\n",
      "        6 3.80242e+03  2.1e-01  3.8e-04  1.9e-04  4.5e-03  1.4e-04 -1.3e+05 -2.2e+02 -1.1e+02 -2.3e+03 -8.6e+01\n",
      "        7 2.93826e+03  2.2e-01  3.9e-04  2.0e-04  4.6e-03  1.4e-04 -9.8e+04 -1.7e+02 -8.6e+01 -1.7e+03 -6.8e+01\n",
      "        8 2.41013e+03  2.3e-01  4.1e-04  2.1e-04  4.7e-03  1.5e-04 -7.7e+04 -1.3e+02 -6.5e+01 -1.2e+03 -5.4e+01\n",
      "        9 2.08734e+03  2.3e-01  4.2e-04  2.1e-04  4.8e-03  1.5e-04 -6.0e+04 -1.0e+02 -4.9e+01 -7.5e+02 -4.3e+01\n",
      "w,b found by gradient descent: w: [2.31e-01 4.18e-04 2.12e-04 4.81e-03], b: 0.00\n",
      "Iteration Cost          w0       w1       w2       w3       b       djdw0    djdw1    djdw2    djdw3    djdb  \n",
      "---------------------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|\n",
      "        0 4.42313e+04  5.5e-02  1.0e-04  5.2e-05  1.2e-03  3.6e-05 -5.5e+05 -1.0e+03 -5.2e+02 -1.2e+04 -3.6e+02\n",
      "        1 2.76461e+04  9.8e-02  1.8e-04  9.2e-05  2.2e-03  6.5e-05 -4.3e+05 -7.9e+02 -4.0e+02 -9.5e+03 -2.8e+02\n",
      "        2 1.75102e+04  1.3e-01  2.4e-04  1.2e-04  2.9e-03  8.7e-05 -3.4e+05 -6.1e+02 -3.1e+02 -7.3e+03 -2.2e+02\n",
      "        3 1.13157e+04  1.6e-01  2.9e-04  1.5e-04  3.5e-03  1.0e-04 -2.6e+05 -4.8e+02 -2.4e+02 -5.6e+03 -1.8e+02\n",
      "        4 7.53002e+03  1.8e-01  3.3e-04  1.7e-04  3.9e-03  1.2e-04 -2.1e+05 -3.7e+02 -1.9e+02 -4.2e+03 -1.4e+02\n",
      "        5 5.21639e+03  2.0e-01  3.5e-04  1.8e-04  4.2e-03  1.3e-04 -1.6e+05 -2.9e+02 -1.5e+02 -3.1e+03 -1.1e+02\n",
      "        6 3.80242e+03  2.1e-01  3.8e-04  1.9e-04  4.5e-03  1.4e-04 -1.3e+05 -2.2e+02 -1.1e+02 -2.3e+03 -8.6e+01\n",
      "        7 2.93826e+03  2.2e-01  3.9e-04  2.0e-04  4.6e-03  1.4e-04 -9.8e+04 -1.7e+02 -8.6e+01 -1.7e+03 -6.8e+01\n",
      "        8 2.41013e+03  2.3e-01  4.1e-04  2.1e-04  4.7e-03  1.5e-04 -7.7e+04 -1.3e+02 -6.5e+01 -1.2e+03 -5.4e+01\n",
      "        9 2.08734e+03  2.3e-01  4.2e-04  2.1e-04  4.8e-03  1.5e-04 -6.0e+04 -1.0e+02 -4.9e+01 -7.5e+02 -4.3e+01\n",
      "w,b found by gradient descent: w: [2.31e-01 4.18e-04 2.12e-04 4.81e-03], b: 0.00\n"
     ]
    }
   ],
   "source": [
    "#set alpha to 1e-7\n",
    "_,_,hist = run_gradient_descent(X_train, y_train, 10, alpha = 1e-7)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6d6fc999",
   "metadata": {},
   "source": [
    "Cost is decreasing throughout the run showing that $\\alpha$ is not too large. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "b8015d2f",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-06-17T05:04:22.438068Z",
     "start_time": "2022-06-17T05:04:22.281401Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_cost_i_w(X_train,y_train,hist)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8423320d",
   "metadata": {},
   "source": [
    "On the left, you see that cost is decreasing as it should. On the right you can see that $w_0$ is decreasing without crossing the minimum. Note above that `dj_w0` is negative throughout the run. This solution will also converge, though not quite as quickly as the previous example."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a17b8242",
   "metadata": {},
   "source": [
    "## Feature Scaling \n",
    "<figure>\n",
    "    <img src=\"../work/images/C1_W2_Lab06_featurescalingheader.PNG\" style=\"width:1200px;\" >\n",
    "</figure>\n",
    "The lectures described the importance of rescaling the dataset so the features have a similar range.\n",
    "If you are interested in the details of why this is the case, click on the 'details' header below. If not, the section below will walk through an implementation of how to do feature scaling."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7a2aeae6",
   "metadata": {},
   "source": [
    "<details>\n",
    "<summary>\n",
    "    <font size='3', color='darkgreen'><b>Details</b></font>\n",
    "</summary>\n",
    "\n",
    "Let's look again at the situation with $\\alpha$ = 9e-7. This is pretty close to the maximum value we can set $\\alpha$  to without diverging. This is a short run showing the first few iterations:\n",
    "\n",
    "<figure>\n",
    "    <img src=\"../work/images/C1_W2_Lab06_ShortRun.PNG\" style=\"width:1200px;\" >\n",
    "</figure>\n",
    "\n",
    "Above, while cost is being decreased, its clear that $w_0$ is making more rapid progress than the other parameters due to its much larger gradient.\n",
    "\n",
    "The graphic below shows the result of a very long run with $\\alpha$ = 9e-7. This takes several hours.\n",
    "\n",
    "<figure>\n",
    "    <img src=\"../work/images/C1_W2_Lab06_LongRun.PNG\" style=\"width:1200px;\" >\n",
    "</figure>\n",
    "    \n",
    "Above, you can see cost decreased slowly after its initial reduction. Notice the difference between `w0` and `w0`,`w1`,`w2` as well as  `dj_dw0` and `dj_dw1-3`. `w0` reaches its near final value very quickly and `dj_dw0` has quickly decreased to a small value showing that `w0` is near the final value. The other parameters were reduced much more slowly.\n",
    "\n",
    "Why is this?  Is there something we can improve? See below:\n",
    "<figure>\n",
    "    <center> <img src=\"../work/images/C1_W2_Lab06_scale.PNG\"   ></center>\n",
    "</figure>   \n",
    "\n",
    "The figure above shows why $w$'s are updated unevenly. \n",
    "- $\\alpha$ is shared by all parameter updates ($w$'s and $b$).\n",
    "- the common error term is multiplied by the features for the $w$'s. (not $b$).\n",
    "- the features vary significantly in magnitude making some features update much faster than others. In this case, $w_0$ is multiplied by 'size(sqft)', which is generally > 1000,  while $w_1$ is multiplied by 'number of bedrooms', which is generally 2-4. \n",
    "    \n",
    "The solution is Feature Scaling."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ffd7b541",
   "metadata": {},
   "source": [
    "The lectures discussed three different techniques: \n",
    "- Feature scaling, essentially dividing each feature by a user selected value to result in a range between -1 and 1.\n",
    "- Mean normalization: $x_i := \\dfrac{x_i - \\mu_i}{max - min} $ \n",
    "- Z-score normalization which we will explore below. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d473d492",
   "metadata": {},
   "source": [
    "\n",
    "### z-score normalization \n",
    "After z-score normalization, all features will have a mean of 0 and a standard deviation of 1.\n",
    "\n",
    "To implement z-score normalization, adjust your input values as shown in this formula:\n",
    "$$x^{(i)}_j = \\dfrac{x^{(i)}_j - \\mu_j}{\\sigma_j} \\tag{4}$$ \n",
    "where $j$ selects a feature or a column in the X matrix. $µ_j$ is the mean of all the values for feature (j) and $\\sigma_j$ is the standard deviation of feature (j).\n",
    "$$\n",
    "\\begin{align}\n",
    "\\mu_j &= \\frac{1}{m} \\sum_{i=0}^{m-1} x^{(i)}_j \\tag{5}\\\\\n",
    "\\sigma^2_j &= \\frac{1}{m} \\sum_{i=0}^{m-1} (x^{(i)}_j - \\mu_j)^2  \\tag{6}\n",
    "\\end{align}\n",
    "$$\n",
    "\n",
    ">**Implementation Note:** When normalizing the features, it is important\n",
    "to store the values used for normalization - the mean value and the standard deviation used for the computations. After learning the parameters\n",
    "from the model, we often want to predict the prices of houses we have not\n",
    "seen before. Given a new x value (living room area and number of bed-\n",
    "rooms), we must first normalize x using the mean and standard deviation\n",
    "that we had previously computed from the training set.\n",
    "\n",
    "**Implementation**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "c601d484",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-06-17T05:04:22.453636Z",
     "start_time": "2022-06-17T05:04:22.440057Z"
    }
   },
   "outputs": [],
   "source": [
    "def zscore_normalize_features(X):\n",
    "    \"\"\"\n",
    "    computes  X, zcore normalized by column\n",
    "    \n",
    "    Args:\n",
    "      X (ndarray): Shape (m,n) input data, m examples, n features\n",
    "      \n",
    "    Returns:\n",
    "      X_norm (ndarray): Shape (m,n)  input normalized by column\n",
    "      mu (ndarray):     Shape (n,)   mean of each feature\n",
    "      sigma (ndarray):  Shape (n,)   standard deviation of each feature\n",
    "    \"\"\"\n",
    "    # find the mean of each column/feature\n",
    "    mu     = np.mean(X, axis=0)                 # mu will have shape (n,)\n",
    "    # find the standard deviation of each column/feature\n",
    "    sigma  = np.std(X, axis=0)                  # sigma will have shape (n,)\n",
    "    # element-wise, subtract mu for that column from each example, divide by std for that column\n",
    "    X_norm = (X - mu) / sigma      \n",
    "\n",
    "    return (X_norm, mu, sigma)\n",
    " \n",
    "#check our work\n",
    "#from sklearn.preprocessing import scale\n",
    "#scale(X_orig, axis=0, with_mean=True, with_std=True, copy=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "809fb22a",
   "metadata": {},
   "source": [
    "Let's look at the steps involved in Z-score normalization. The plot below shows the transformation step by step."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "c3da5735",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-06-17T05:04:22.896619Z",
     "start_time": "2022-06-17T05:04:22.456639Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mu     = np.mean(X_train,axis=0)   \n",
    "sigma  = np.std(X_train,axis=0) \n",
    "X_mean = (X_train - mu)\n",
    "X_norm = (X_train - mu)/sigma      \n",
    "\n",
    "fig,ax=plt.subplots(1, 3, figsize=(12, 3))\n",
    "ax[0].scatter(X_train[:,0], X_train[:,3])\n",
    "ax[0].set_xlabel(X_features[0]); ax[0].set_ylabel(X_features[3]);\n",
    "ax[0].set_title(\"unnormalized\")\n",
    "ax[0].axis('equal')\n",
    "\n",
    "ax[1].scatter(X_mean[:,0], X_mean[:,3])\n",
    "ax[1].set_xlabel(X_features[0]); ax[0].set_ylabel(X_features[3]);\n",
    "ax[1].set_title(r\"X - $\\mu$\")\n",
    "ax[1].axis('equal')\n",
    "\n",
    "ax[2].scatter(X_norm[:,0], X_norm[:,3])\n",
    "ax[2].set_xlabel(X_features[0]); ax[0].set_ylabel(X_features[3]);\n",
    "ax[2].set_title(r\"Z-score normalized\")\n",
    "ax[2].axis('equal')\n",
    "plt.tight_layout(rect=[0, 0.03, 1, 0.95])\n",
    "fig.suptitle(\"distribution of features before, during, after normalization\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "be10db60",
   "metadata": {},
   "source": [
    "The plot above shows the relationship between two of the training set parameters, \"age\" and \"sqft\". *These are plotted with equal scale*. \n",
    "- Left: Unnormalized: The range of values or the variance of the 'size(sqft)' feature is much larger than that of age\n",
    "- Middle: The first step find removes the mean or average value from each feature. This leaves features that are centered around zero. It's difficult to see the difference for the 'age' feature, but 'size(sqft)' is clearly around zero.\n",
    "- Right: The second step divides by the variance. This leaves both features centered at zero with a similar scale."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "26615ae7",
   "metadata": {},
   "source": [
    "Let's normalize the data and compare it to the original data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "d63725a5",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-06-17T05:04:22.912631Z",
     "start_time": "2022-06-17T05:04:22.898599Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X_mu = [1.42e+03 2.72e+00 1.38e+00 3.84e+01], \n",
      "X_sigma = [411.62   0.65   0.49  25.78]\n",
      "Peak to Peak range by column in Raw        X:[2.41e+03 4.00e+00 1.00e+00 9.50e+01]\n",
      "Peak to Peak range by column in Normalized X:[5.85 6.14 2.06 3.69]\n",
      "X_mu = [1.42e+03 2.72e+00 1.38e+00 3.84e+01], \n",
      "X_sigma = [411.62   0.65   0.49  25.78]\n",
      "Peak to Peak range by column in Raw        X:[2.41e+03 4.00e+00 1.00e+00 9.50e+01]\n",
      "Peak to Peak range by column in Normalized X:[5.85 6.14 2.06 3.69]\n"
     ]
    }
   ],
   "source": [
    "# normalize the original features\n",
    "X_norm, X_mu, X_sigma = zscore_normalize_features(X_train)\n",
    "print(f\"X_mu = {X_mu}, \\nX_sigma = {X_sigma}\")\n",
    "print(f\"Peak to Peak range by column in Raw        X:{np.ptp(X_train,axis=0)}\")   \n",
    "print(f\"Peak to Peak range by column in Normalized X:{np.ptp(X_norm,axis=0)}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2eb67e89",
   "metadata": {},
   "source": [
    "The peak to peak range of each column is reduced from a factor of thousands to a factor of 2-3 by normalization."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "1684987b",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-06-17T05:04:24.044939Z",
     "start_time": "2022-06-17T05:04:22.915627Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax=plt.subplots(1, 4, figsize=(12, 3))\n",
    "for i in range(len(ax)):\n",
    "    norm_plot(ax[i],X_train[:,i],)\n",
    "    ax[i].set_xlabel(X_features[i])\n",
    "ax[0].set_ylabel(\"count\");\n",
    "fig.suptitle(\"distribution of features before normalization\")\n",
    "plt.show()\n",
    "fig,ax=plt.subplots(1,4,figsize=(12,3))\n",
    "for i in range(len(ax)):\n",
    "    norm_plot(ax[i],X_norm[:,i],)\n",
    "    ax[i].set_xlabel(X_features[i])\n",
    "ax[0].set_ylabel(\"count\"); \n",
    "fig.suptitle(f\"distribution of features after normalization\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0797fd3f",
   "metadata": {},
   "source": [
    "Notice, above, the range of the normalized data is centered around zero and roughly +/- 1. Most importantly, the range is similar for each feature."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "68643c10",
   "metadata": {},
   "source": [
    "Let's re-run our gradient descent algorithm with normalized data.\n",
    "Note the **vastly larger value of alpha**. This will speed descent."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "c7054a96",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-06-17T05:04:24.330794Z",
     "start_time": "2022-06-17T05:04:24.046939Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration Cost          w0       w1       w2       w3       b       djdw0    djdw1    djdw2    djdw3    djdb  \n",
      "---------------------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|\n",
      "        0 5.76170e+04  8.9e+00  3.0e+00  3.3e+00 -6.0e+00  3.6e+01 -8.9e+01 -3.0e+01 -3.3e+01  6.0e+01 -3.6e+02\n",
      "      100 2.21086e+02  1.1e+02 -2.0e+01 -3.1e+01 -3.8e+01  3.6e+02 -9.2e-01  4.5e-01  5.3e-01 -1.7e-01 -9.6e-03\n",
      "      200 2.19209e+02  1.1e+02 -2.1e+01 -3.3e+01 -3.8e+01  3.6e+02 -3.0e-02  1.5e-02  1.7e-02 -6.0e-03 -2.6e-07\n",
      "      300 2.19207e+02  1.1e+02 -2.1e+01 -3.3e+01 -3.8e+01  3.6e+02 -1.0e-03  5.1e-04  5.7e-04 -2.0e-04 -6.9e-12\n",
      "      400 2.19207e+02  1.1e+02 -2.1e+01 -3.3e+01 -3.8e+01  3.6e+02 -3.4e-05  1.7e-05  1.9e-05 -6.6e-06 -2.7e-13\n",
      "      500 2.19207e+02  1.1e+02 -2.1e+01 -3.3e+01 -3.8e+01  3.6e+02 -1.1e-06  5.6e-07  6.2e-07 -2.2e-07 -2.7e-13\n",
      "      600 2.19207e+02  1.1e+02 -2.1e+01 -3.3e+01 -3.8e+01  3.6e+02 -3.7e-08  1.9e-08  2.1e-08 -7.3e-09 -2.6e-13\n",
      "      700 2.19207e+02  1.1e+02 -2.1e+01 -3.3e+01 -3.8e+01  3.6e+02 -1.2e-09  6.2e-10  6.9e-10 -2.4e-10 -2.6e-13\n",
      "Iteration Cost          w0       w1       w2       w3       b       djdw0    djdw1    djdw2    djdw3    djdb  \n",
      "---------------------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|\n",
      "        0 5.76170e+04  8.9e+00  3.0e+00  3.3e+00 -6.0e+00  3.6e+01 -8.9e+01 -3.0e+01 -3.3e+01  6.0e+01 -3.6e+02\n",
      "      100 2.21086e+02  1.1e+02 -2.0e+01 -3.1e+01 -3.8e+01  3.6e+02 -9.2e-01  4.5e-01  5.3e-01 -1.7e-01 -9.6e-03\n",
      "      200 2.19209e+02  1.1e+02 -2.1e+01 -3.3e+01 -3.8e+01  3.6e+02 -3.0e-02  1.5e-02  1.7e-02 -6.0e-03 -2.6e-07\n",
      "      300 2.19207e+02  1.1e+02 -2.1e+01 -3.3e+01 -3.8e+01  3.6e+02 -1.0e-03  5.1e-04  5.7e-04 -2.0e-04 -6.9e-12\n",
      "      400 2.19207e+02  1.1e+02 -2.1e+01 -3.3e+01 -3.8e+01  3.6e+02 -3.4e-05  1.7e-05  1.9e-05 -6.6e-06 -2.7e-13\n",
      "      500 2.19207e+02  1.1e+02 -2.1e+01 -3.3e+01 -3.8e+01  3.6e+02 -1.1e-06  5.6e-07  6.2e-07 -2.2e-07 -2.7e-13\n",
      "      600 2.19207e+02  1.1e+02 -2.1e+01 -3.3e+01 -3.8e+01  3.6e+02 -3.7e-08  1.9e-08  2.1e-08 -7.3e-09 -2.6e-13\n",
      "      700 2.19207e+02  1.1e+02 -2.1e+01 -3.3e+01 -3.8e+01  3.6e+02 -1.2e-09  6.2e-10  6.9e-10 -2.4e-10 -2.6e-13\n",
      "      800 2.19207e+02  1.1e+02 -2.1e+01 -3.3e+01 -3.8e+01  3.6e+02 -4.1e-11  2.1e-11  2.3e-11 -8.1e-12 -2.6e-13\n",
      "      900 2.19207e+02  1.1e+02 -2.1e+01 -3.3e+01 -3.8e+01  3.6e+02 -1.4e-12  6.9e-13  7.6e-13 -2.7e-13 -2.6e-13\n",
      "w,b found by gradient descent: w: [110.56 -21.27 -32.71 -37.97], b: 363.16\n",
      "      800 2.19207e+02  1.1e+02 -2.1e+01 -3.3e+01 -3.8e+01  3.6e+02 -4.1e-11  2.1e-11  2.3e-11 -8.1e-12 -2.6e-13\n",
      "      900 2.19207e+02  1.1e+02 -2.1e+01 -3.3e+01 -3.8e+01  3.6e+02 -1.4e-12  6.9e-13  7.6e-13 -2.7e-13 -2.6e-13\n",
      "w,b found by gradient descent: w: [110.56 -21.27 -32.71 -37.97], b: 363.16\n"
     ]
    }
   ],
   "source": [
    "w_norm, b_norm, hist = run_gradient_descent(X_norm, y_train, 1000, 1.0e-1, )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "debd0cbb",
   "metadata": {},
   "source": [
    "The scaled features get very accurate results **much, much faster!**. Notice the gradient of each parameter is tiny by the end of this fairly short run. A learning rate of 0.1 is a good start for regression with normalized features.\n",
    "Let's plot our predictions versus the target values. Note, the prediction is made using the normalized feature while the plot is shown using the original feature values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "84f3079d",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-06-17T05:04:24.648903Z",
     "start_time": "2022-06-17T05:04:24.333804Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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dVYN8DNHY2AiRSISEhARVEPbkk09i69atSEhIgLe3NxQKBcrLy1VXh1oHeY2NjQgICMDrr7+O119/HQ0NDQgICMAvv/yCt99+W++6HDt2TDXQjk9AQAA6d+6MS5cu4c033+R8TlRUFG7evIlbt27pfVLs378/Nm7ciNLSUtVVXODBCVqf76pfv34oLS3F1atXVT8smpqacPLkSbXBYW3RnN2h9SCxlt+Fru+yLfRp61waGhowadIkDB48GCkpKRrLe/bsyfk6XW0pMDAQhw8fxlNPPaX2OsYY+vXrhzVr1qCsrEz1ed27dw8XL15Uu/rKZeDAgfj6668RFhYGsVhs8PZq07dvXxw/flytvR4/fhwikcigH6D6On/+PK5fv47z58+r3cXR9WO7teXLl2PXrl04deqUxmcycOBA1VVjLs3blZ2djb/85S8GboHh9Pnuo6KiNO5ktKZruwjpSNRFhFidfv36Ye/evTh48CCysrKQl5eH3r174/Lly9i1axdyc3OxdetWzJkzR6/1TZ06FefOnYNUKkV2djZ++OEH/P3vf1d7zrvvvouLFy8iISEBR48exaVLl7Bz506MHTtWdZuWq17aTJs2DZs2bcKxY8fU8md7enpizpw5WLBgAZYtW4Zz587h7NmzWLlypc5t+vLLL5GQkID09HRcuXIFe/bswdmzZxEdHQ0AGDx4MJydnbFo0SJcvnwZO3fuxNNPP622juTkZMydOxcZGRm4fPkyNm3ahKqqKgwePFjre1+7dg27d+/GpUuXsGXLFqSkpOBf//oXRCIR72uaM3h8/vnnWLBgAX7//Xfk5ORg7dq1mDJlCgDgiSeeQEhICKZNm4bTp09j//79eOaZZ9SyNrT28ssvo1OnTpg4cSIOHz6M3NxcfPnll6rvtV+/fvj999+RlpaG06dPq7KZtDRy5EgMGTIEL730Eg4dOoTTp08jOTkZFRUVeOutt7R+Frp4e3ujd+/e+M9//oOcnBwcO3YM48ePx/Xr11XP0fVdtoU+bZ3L3/72N+Tl5WHJkiW4fv068vPzkZ+fr7OLgq62NHfuXKxatUr1ORw6dAhJSUk4d+4cXn75ZQQEBODFF19EZmYmMjIy8MILLyAwMFDV/YvPzJkz0dDQgHHjxiE9PR2XLl3Cr7/+ipdffhk5OTn6f2AcFixYgK1bt+LTTz9FdnY2vv32W7z33nuYM2eO1rbeVl27doVIJMKGDRtw4cIFHDx4EDNmzMCNGzf0XsfRo0cxd+5cLF68GM7OzqrvrznLz6JFi/Dzzz/j9ddfR2ZmJi5evIgtW7ao7qr1798fMTEx+Nvf/oaMjAwcO3YMU6dOxbVr14y+vQD0+u6nT5+O3bt34/PPP0d2djY2bNigloVJn+0ipEOZod83Ie1SWlrKxo4dy8RiMfPx8WFpaWmssbGRvfXWW8zHx4d5eHiwJ554gn388ccMACssLGSMcQ/wa7Zu3ToWFhbGnJyc2EMPPcQWLlzIALA///xT9ZyTJ0+ysWPHMi8vLyYSiVjPnj3ZO++8wxobG3nrpU1lZSXz8PBg8fHxGssUCgX7/PPPWd++fZmzszPr1KkTGz58ONuxYwdjjH+Q3NmzZ9kzzzzDQkJCmIuLC4uMjGSLFy9WGwS2ZcsWJpFImIeHBxs+fDhbu3at2rp27NjBhg0bxnx9fZmbmxsbNGgQ+/bbb7Vuy5QpU1h4eDh75JFHmJubGwsMDGQff/yx2oA7bYOJvvnmG/bwww8zkUjEPD09WXR0NFu9erVq+cmTJ9mgQYOYSCRi/fr1Y//3f/+ndZAjY4zduHGDvfzyyyw4OJi5u7uzmJgY9t133zHGlANNX375Zebp6ck8PDzY//t//48xpjkw7ObNm+zll19m3t7eTCQSsREjRrBTp06pljcPcmxuY80AsE2bNmn9zE6fPs0GDx7M3NzcWL9+/diXX37JQkNDVQPVdH2XfIMcW+JqJ/q09dYAcP7jGkTXkj5taePGjax///7Mzc2NhYaGsqlTp6oGxl69epU9/fTTTCwWM7FYzJ5++mm1Qafa9ukrV66whIQE5uvrq/r8ZsyYwe7evctbX67Br1zvsWXLFta7d2/m5OTEQkJC2IIFC1THAcb42zrX+qdOnaoxyHHGjBlsyJAhqsc7d+5k3bt3Zy4uLqx3795s5cqVam2FMe2DHJOTkzm/v5bvu3fvXjZ8+HDVZz1gwAD2wQcfqJZfvXqVDR8+nLm4uLDu3buzjz76iHXp0kWvQY6t9wWuAZguLi5szZo1au+n7btnTDkYOiAggHl7e7Nx48axf/zjH6x1WKNru2iQI+koAsZ0dMgkxA598803mD59OsrLyw0aGGevkpOTcePGDezbt8/cVSEGorZOCCHGR32wCYGyf+LAgQMRHByM/Px8LFq0CMnJyRRwEJtDbZ0QQjoeBdiEANizZw/ef/991NbWIjw8HImJiZg/f765q0WI0VFbJ4SQjkddRAghhBBCCDEiuidICCGEEEKIEVGATQghhBBCiBFRgE0IIYQQQogRUYBNCCGEEEKIEVGATQghhBBCiBHZVJq+8vJyc1eB2BAvLy+TvA+1W2Js1HaJNTJVuwWo7RLj4mq7dAWbEEIIIYQQI6IAmxBCCCGEECOyqS4iLZnyVhOxHea+bUjtlrQVtV1ijczdbgFqu6RtdLVduoJNCCGEEEKIEVGATQghhBBCiBHZbBcRQvjIKoCULKCoGggRA9JoQOJp7loRoh21W2KtqO0SY7GmtmRXAXZZWRkaGxvNXQ2b4O3tDScnJ3NXw2CyCiD+JyCv4kFZxk0g/WnL3UkJoXZLrBW1XWIs1taW7CbArqmpAQD4+/ubuSbWT6FQ4NatW/D19bW6IDslS33nBJSPU7KA1NHmqRMhulC7JdaK2i4xFmtrS3bTB7uqqopGChuJg4MDAgICcO/ePXNXxWBF1dzlxTzlhFgCarfEWlHbJcZibW3JbgJsgUAAgUBg7mrYDAcHB6v8PEPE3OXBPOWEWAJqt8RaUdslxmJtbcluAmxCAOWAiMhWfbUiPZXlhFgqarfEWlHbJcZibW3JbvpgEwIoB0KkP63ss1Vcrfzla8mjkAkBqN0S60VtlxiLtbUlCrAtQEREBNauXYvRo03fS9+c720uEk/LHBBBiDbUbom1orZLjMWa2hIF2MT+lMuAzBSguggQhwAxUsBLYu5aEaIdtVtirajtEmOxorZEfbB1kFUASfuAkWnKv7IK3a8xxNSpU1FQUIAxY8bA0dER8+fPx0MPPQRvb2+4u7sjJiYGmZmZqudHRERg3rx5iImJgUgkwrFjx1BdXY3XX38dnTp1QmBgILp3746kpCTVazIyMvDoo4/Cw8MDAwYMwOHDhznf+7333jPuxlmichmQFg9c3gwUHVL+TYtXlhNiqajdEmtFbZcYi5W1JQqwtWhOar75CnCoWPk3/ifjBtlfffUVwsPDsWfPHjQ1NeHDDz/E6tWrUVxcjPLycrz11lt45ZVX1F5z9uxZbNy4EVVVVYiOjsbcuXORn5+Pixcv4uLFi3j44YdVzy0qKsK4ceMwf/58lJaW4r333sOkSZNQWVmp8d4ffPCB8TbMUmWmABV56mUVecpyQiwVtVtirajtEmOxsrZEAbYW2pKadxSBQIDc3Fw8++yzCAsLwxtvvIFLly5BoVConvOPf/wDPXv2hKOjI5ycnLBx40Z89tlnCAgIgI+PD7p166Z6bmpqKsaNG4enn34aIpEICQkJ8Pf3V7sqbleqi3jKi01bD0IMQe2WWCtqu8RYrKwtUYCthTmSmn/zzTeYM2cOXn31VZw/fx7nz5+HQqFQC7BbunXrFqqrqxEZGcm5vKCgAFu2bIFIJFL9u3LlCkpKSjpuIyyZOISnPNi09SDEENRuibWitkuMxcraEgXYWpgqqblQKARjDABw5MgRTJ48GQkJCfD19YWDg/avyMfHBwKBAHfu3OFcHhISgilTpqCurk71r7GxUdVHu+V7m0JH92nXKUYKeLb6MeIZqSwnxFLFSNHort5uG92p3RIrYAdt1+znNXthZedvCrC1MFVS87CwMOzbtw+VlZWQSCTIyspCeXk5SkpKsGjRIq2vdXZ2xujRo/Gf//wHNTU1OHPmDH799VfV8pdeegk//PADtm3bhtraWty8eRPbt29HQUGBxnvfunXLuBvWiin6tOvkJQEmpAPdE4GQkcq/E9ItdhQyIQAgE0gw2iEdqYJEHMBIpAoSMdohHTIBtVti2Wy97VrEec1eWNn5mwJsLZqTmid2A0YGK/+mP238pOZSqRTfffcd/P39UVdXh8DAQHTu3BnDhg1DWFiYztf/3//9H06dOgVfX1/MmDEDgYGBcHZ2BgB07doVaWlpWLVqFYKCgtC3b1+kpqbCxcVF472//vpr425YK+bo087JSwI8ngpMPKD8a6E7JyHNUrKAI9USTHZIRZzwACY7pOJItcT0+w4hBrL1tmsx5zV7YUXnb8qDrYMpkpo/9thjuHbtGu/yJUuWqP6fn5+vsVwikeDo0aOqx2+//Ta8vb3V1t9yuSHvbUzm6NNOiC2gfYdYK1tvu7a+faTtKMC2AWfOnIFAIECvXr2Qm5uL7du3Iy0tzdzV0mCqPu2E2Brad4i1svW2a+vbR9qOuojYgCtXrmDMmDHw9PTEiy++iCVLlqjlwrYUpurTToitoX2HWCtbb7u2vn2k7QTMlCkkOlh5ebnq/15eXmrLSktL4e/vb+oq2bS2fKay+33TiquVv/Cl0cbv094e2tqQLb0nsT669h1qu8RSaWu75mpDxnxfSz+vkY6hqw1RFxFiUqbo006ILaJ9h1grW2+7tr59pG2oiwghhBBCCCFGRAE2IYQQQgghRkQBNiGEEEIIIUZEATYhhBBCCCFGRAG2jRsxYgTWrl0LAHj//fcRFxen8zURERHYt29fx1SoXAbsTQJ+GKn8Wy7rmPchxNbQvkOsla23XVvfPtImlEXEjixcuNC8FSiXAWnxQEXeg7KSDGBCukVPd0qI2dG+Q6yVrbddW98+0mZ0BVsXE/wyjYiIwMyZMzFo0CB4eXnhhRdeQFVVFTZs2ICBAwfib3/7G4KCghAfHw8AyMjIwKOPPgoPDw8MGDAAhw8fVq3r2rVriI+Ph7u7O/r06YNLly6pli1evBjJycmqx0ePHkVsbCw8PDzQs2dPrF27FlOnTkVBQQHGjBkDR0dHvPfee8bb0MwU9YMQoHycmWK89yDEFtG+Q6yVrbddW98+0mYUYGvT/Mv08mag6JDyb1p8hwTZpaWl2L59O65du4bCwkIsXboUAJCXl4dBgwYhLy8PaWlpKCoqwrhx4zB//nyUlpbivffew6RJk1BZWQmFQoGJEydiyJAhuHXrFtLT0+Hn58f5ftevX8fTTz+Nd999F7du3cKGDRtQWVmJr776CuHh4dizZw+amprwwQcfGG8jq4t4youN9x6E2CLad4i1svW2a+vbR9qMAmxtTPjLdNq0aejatSt8fX3x1ltv4ddffwUADBgwAK+88grEYjHc3NyQmpqKcePG4emnn4ZIJEJCQgL8/f2RmZmJU6dOoaSkBAsXLoSbmxuCg4Ph6+vL+X6bN29GfHw8nnnmGbi6uiI2NhazZ882+napEYfwlAd37PsSYu1o3yHWytbbrq1vH2kzkwfYhw8fRlxcHDw9PeHm5oZ79+4BAHbs2IHIyEiIRCLExsYiOztb9ZrGxka88cYb8Pb2hpeXF2bMmIHGxsaOr6yZfpn6+fnh7t27nMsKCgqwZcsWiEQi1b8rV66gpKQEMpkM4eHhcHDQ/bUWFhYiIiLCyDXXIUYKeEaql3lGKssJIfxo3yHWytbbrq1vH2kzkwbY+/fvxyuvvIJ33nkHJSUlKCgogIeHB65fv47k5GSsWrUKpaWleOqppzBp0iQwxgAAy5Ytw+nTp5GdnY2cnBz88ccfqi4UHcpMv0xlMhkkEu7BESEhIZgyZQrq6upU/xobG5GUlAQ/Pz+Ulpbq9R6hoaHIz8/nXCYUClWffZvw9Vv3kigHfnRPBEJGKv/SQBBCdPOSAKPWAR4RgLO38u+odbTvEMtnC21X21gsOq8RHiYNsP/xj39g7dq1GDduHNzc3ODv7w9HR0ekpaUhPj4eY8eOhYeHB+bPn4+SkhKcO3cOAPDdd99hwYIFCA0NRWhoKObOnYtt27Z1fIVN+Mv0woULaGhowMWLF7Fs2TK89tprnM976aWX8MMPP2Dbtm2ora3FzZs3sX37dhQUFCA2NhaVlZXYsmULampq8NNPPyE3N5dzPc8//zx+/fVXpKWloaGhAefOncPGjRsBAGFhYdi3bx8qKytx69YtwzZEV791LwnweCow8YDyLx2ECNGtXAYceBWozAcaypR/D7xK6cCI5bP2tqvPWCw6rxEOJguwi4uLcf78eaxevRqBgYHw9fXFjBkz0NDQgMuXLyM8PFz1XKFQiMjISFy+fBkANJZ3795dtaxDmfCX6ZYtWxAYGIi4uDhMmzYNzz//POfzunbtirS0NKxatQpBQUHo27cvUlNT4eLiArFYjK1bt2Lx4sUIDQ3F1q1bERQUxLmebt264bvvvsO///1v+Pj44MUXX4SLiwsAQCqV4rvvvoO/vz++/vprwzaERlQTYny0XxFrZe1t19rrT8zGZHmwCwoKIBaL8dZbb+Hrr79GaWkpnn/+ecybNw81NTUagaBYLEZVVRUAoKamBq6urmrLampqwBiDQCDo2Io3/zLtYFKpFKNHj1YrS05OVkur1+yxxx7D0aNHOdczevRo3h8fixcvVnv8xBNP4IknnuBc/7Vr1/SreGs0opoQ46P9ilgra2+71l5/YjYmu4ItEAjg4uKCxx57DM7OzggJCcGcOXOwa9cuuLm5oaGhQe359fX1EIvFAKCxvL6+Hq6urh0fXBPD0YhqQoyP9itiray97Vp7/YnZmCzAjoyMxJ07d3Dz5k1VWVNTE3x9fdG9e3dcuHBBVS6Xy3Hp0iV069YNADSW5+bmqpYRC0MjqgkxPtqviLWy9rZr7fUnZmOyANvf3x9jx47F66+/jnv37uH69ev47LPPkJSUhPHjx+PQoUPYvXs3qqqq8OmnnyIgIAADBw4EAEyaNAmffvopioqKUFxcjM8++4y3j7I1ys/P1+geYrVoRDUhxkf7FbFW1t52rb3+xGxM1gcbADZu3IiZM2eia9eucHd3x5tvvok333wTAoEA69atw1tvvYWioiIMHDgQ27dvV3UBmTNnDq5du4ZevXpBIBAgISEBc+fONWXVTaZeDhRVA40KwMkBCBEDLkJz18pAJuq3butkFUBKlrI9hIgBaTQg8TR3rYjZWNF+RW2XqLGitsuJo/7UxokuAtauhMeWpby8XPV/Ly8vtWW3bt2Cv7+/RffbrpcDl8uUf5u5CIHu3pYXZCsUCty+fRsBAQHmropRaWtDpnxPWQUQ/xOQV/HgeZGeQPrTdBAn3KjtEmtkjnbb3velNk4A3W3IbqZKd3d3V/swLFFRtXpwDTy4om1JFAoFbt26BR8fH3NXxWalZKkfvAHl45Qs89SHEH1R2yW2jto40YdJu4iYU3MmEn1nOjSHjELgZq1meaAr4BGm/bVVjcDZO0BNI+DmBAzwBdydOqaejDH4+vrCyYn7DejWWfvx/agqtrAfW/bCEtq0JdRBH9R2SWvW0nb5yCqAWb8BGfdzNDQpuJ9HbZy0ZDcBNgB4e3ubuwpa/XIW2HxFszyxG/DyIP7XySqA+L2WcbuK69ZZxk26dWaoEDF3eTBPOek4ltCmLaEO+vJ05i734Cknts2a2i4XWQUwIg24XqX7uXR8Ji3ZTRcRayCNVgbGLUV6Ksu1saTbVZZUF2vW1rZAjM8S2rQl1EFfAp5RPXzlxLZZU9vlkpKlX3BNx2fSml1dwbZ0Ek/g4AgZru9PgVtdEWpEIegyQoowT+3pgCzplqwl1cWatbUtEOOzhDZtCXXQV3kjEK6QYQlSEMyKUCwIwQJIUdFIbdceWVPb5cJX/3CFDMuEKejqQMdnwo0CbEtSLkPY/niEVeQpHzcA2J+hM+emJXUnsKS6WLU2tgVifJbQpi2hDvoa4CTDGhaPKNxvuwyIRQY+d0oHQG3X3lhT2+XCVf9whQz7WDyimuj4TPhRFxFLkpkCNAdUzSrylOVaWFJ3Akuqi1VrY1sgxmcJbdoS6qAvKUt5EFzfF4U8SBm1XXtkTW2XizQa6OKuXrYEmm2cjs+kNbqCbUmqi3jKi7W+THJ/QGNKlvK2W3CrUdqmHMGtqy5ET21sC8T4JJ7AupHAlANAWT3g7aJ8bMo2bU37lUcDd9v1aKC2a48sYf9pq+ZzZ2dXQMGA2ibA0QHo31QE1HG8gI7PpAUKsC2JOISnPFjnSyWeQCrHbOvmGMHNVxdigHa0BWJcsgrg1YNAfqXycVmD8rGpsyBYzX5FbZe0YCn7j6G0TiaTEQJc5ngRtXHSAnURsSQxUsAzUr3MM1JZ3kbWPoLbbnVAWyBtQ/uQgajtkhasdf/RWm9q40QPdAXbknhJlIMkMlOUt5rEwcodto2DJmQVQPoN7mXWMoLbbhm5LZC2s/YsCCZHbZe0YE37T8vulLn3uJ9TXA1q40QvFGBbGi8J8Hiq4a8rl93f2YsAcQgK+0gRf0iCWxwzQwLWM4LbrrW1LRCj8nLiTjvn6UQnU90o+bW98+KZUdizg2YabiuuLiEtNR8DHrpdBOwNUQbUdHwmWlCAbQvKZUBavFrWCSdZBpqa0gEHzSDAmkZwE2Ju/o33U3K1Sjv3SSOlnePEcTxCCaUws1dMYFi5uXB1CWmmSsuHPKAWyv7X1KaJDtQH2xZwpHQLaszDEmimDAp0tfzBJYRYkoQ73GnnXrhDKbk4UYpJ0kJFA3d5JU+5ufB1ZQl0Bda6Ulo+YjgKsG0BT0q3YKaZMmh0aKvgulwG7E0Cfhip/Fsu66BKEmKdghn3/tWZY/8ioBSTRE2IWHkFeJMiCfvlI7FJkYRwhcziuinyTYgzOhQY7dPGNk3nV7tGXURsAU9arErnYED+4LG7IzC9d4sn0K1cQnQK9/UCOAYLh/vSbSBOlKaPtPBRLxnkl+IRwR50sRoqyICwl2V1sZJGK1PYtk7LJ40GkNGGNk3nV7tHV7BtAU/KoKCRUri2+IarmoCkfcrBHADoVi4hehDwDNTjK7d7lMKMtOD9R8qD4Pq+CJYH7z8s6zzTPJlTYjdgZLDyb3N3ykyJFNeg3qYLHCJR2EdLm6bzq92jK9gWrrBIhuv7U+BaV4RaUQi6xEkRFtLq1y9PyqCPfpOgVtFqfdXA7GPAzrGgW7nEKui1D3SgvNsV6M9ZXslZbve8JCiOXQfHA1PgKi9DrdAbTbHrEExX7eyS7M8izv1E9mexxe0/XJM5ySqA0Yck8BWk388kVIxiQTAWMCmGXpDgI/Acn+j8avcowLZghUUyKNLiMURx/1dwA1CQloHCCencQXarlEEnbnGvN6O5nG7lEgtn0D7QQS43hXAGAleagi0uQLAEhUUyKPa9imBFPgDAo6kMBfteRaHYdN8ZsRzWvv+kZCnv/lY5SDAZ6ufYQbe1HJ/o/Gr3qIuIBbu+PwXhCvVbTOGKPFzfb9gtptYDTMLk9wda0K1cYuGMtQ+0x8dOUuSji1pZPrrgYyfaT7hYwndGLIdV7z/lMky5rj44s6W/lmtp63R+tXt0BduCudZx32LqVrEPhUUynVeDxvvI8FzVNMThIJxwv68IA56tSwNu7AJCh9FsVMSi8e0DrvWmu836kB8gLlSf1k2MexjoZ7IqWBVL+M6I5XjID3AtVE8w7YoKy9x/7k/YVnc3D9VlhXBvKkU87ucTZMCz+B575I9jtmAF7jhLEKbgbutetXk02yOhANuS1YpCAI5coQG4iYK0eO23yctl+OL2cDihUGORG6sCfh4HvHSOZgskFo1vH6h1Md1t1qVlk+CFSrUyf1RiadkkAL+brB7WokHoxV3uQFlX7NHKmiS4oUytLBBlWFmTBOA3s9SJU4usHyIAIo6nuKEOE/EjRrMDuBq9CzVnQ4BGzedFNmUr10fnV7tGXUQsWJc4KQocIjmX6bzlmpkCp1rN4FqlqYpGMxOLx7UPFDhEokuc6W6zelSeNqjc7gl4sqvwlROb5nYnw6Bys+HK+sHDA1V46MQ4SGKnowruGstdGZ1fSTsC7D///BNyuVz3E4l+ymWo3JWEnK9GIn1dEmb9IkOThwQOE9JxCwGcL9F6y5VvBLPac4ohq1Cm7huZ1iqFHyEWICxEAqfR63DLMQKVAm/ccoyA0+h1Jh0sxzejs4XN9GwxnJu4DyLO8krOcmLrFAaWm4k+58yWmqoQfGIKnHy68ayPzq/2zqAuItXV1Zg1axZSU1PR2NiI3NxcdO/eHRMmTMCjjz6KefPmdVQ9bVu5DI0/xMOjKg99APQBILmWgeTb6djwjATXPeMRULFZ42Vab5PzjWBuodI5GPE/qSfWz7hJU6kTC1IuQ3DGq0BTPgBlRgpkvAoEmm6yBgbuYJqv3N41CLkPHg0OHiauCbEECjjAgSOYVpZbED3OmRoq8+HieJt7EZ1f7Z5B7fvdd9/F8ePHsWnTJjg6PojNX3jhBXz77bdGr5zdyEyBU5X6rako5GFaZQpWHpNhoGcl6lr1CNN5mzxGCji48i/3jESKQKq28wPKg0FKlqEbQEgHsYDJGs5gkEHl9o7x/OzgKye27ZJzrEHlZsOV9eM+rZ2bmqoARzf1Mjq/EhgYYKelpWHVqlWYNGkSBIIHB8u//OUvuHr1qtErZxfKZUBhOuei59h3WHYtEuIbP0KEOgBAHVxxSjwBDrryAHtJgPG/agbZDi6AZDwwIR1nG7lfX1zdpi0hxPgsYLKG95yWo6lVWdP9cqLJo7GEu7zppolrQizB+51SUQz1lCHF8MP7nSxs8F9z1o/uiTjnGItriMBxxCJVkIhlmKm9Q4tcrjyvhowEuifS+ZUAMLCLyO3btxEcrNktoby83GgVsivNo5ZruWeEceVInyBCLQaHuEPmIUHSPqCoGggRA9JojttOocOAxBzeNEEhYu5qBfOUE2JqVQIvjiFEQJXAk7O8I8yXv69xoHS8Xw7sM1EtrEdIE/dAsZBGughjj4TeEjx6M0t9FkRIMdTbAtPV3c/68ek+YPMVZdFz8q34Di9pv//C6gEnD2BcGmT3r1Ln3uN+Kp1f7YdBAfbAgQOxb98+9OzZU618/fr1GDx4sFErZhcMGLXcUm15sUbfrqN/Ag/5AuWNrQJuLWmCpNHKPmEt1xPpqSwnxBJcLGPgOrLwlXeER9gxnnILSjFmQTxx16ByYtum9wa+vSrBZPbgPOQoUJZbqpbnxvV4Ta/OTbXlxSipgMa5uSU6v9oXgwLsf//735gwYQKKiorAGMOmTZuQnZ2Nn3/+Gb/++mtH1dF28dz+1jV4Kqs6GHm16mXXq5T/mukzmELiqXxOSpbytlUw35VwQszEoYH7TOXQaLqMFIxx3xxmjLIocRHw3EznKye2bdlZoKlVJ+YmpiwfZqGzhks8gYMjZLi+PwXiCv36dPx6JxgbfuMOrgNdgdGhdH61Nwb1wY6Pj8fPP/+MjIwMODo6YtmyZbh58yZ+/vlnxMXFdVQdbRfPqGVtwfVVRGKOXHNwY+vp0JvKZHoNppB4AqmjgQMTlH9p5yeWpFbEvY+YcqKZ2/A1qNze1XJO0cFfTmxbxk3N81O4QoZMS+6SXy5D2P54DKnYrFeQVAF3LGuajgyebertQ+dXe2TwTI6jRo3CqFGjOqIu9idGCpRk6NVNRAFgL+LwumAN6oTqfdfCFTLsY/GIwv31MCAWGUgpSwegfG5zvzCtfbYJsTBd4qQoSMtAuOLBPmLqiWauoitCoDlwT1lOWjuNh/AYTvCUE3sTJpdhK8f56SX5g/OTxdHRfZMBqIUz3O6Pk/JEFTbgVTxZk45bAs1ton7X9smgK9hLly7lDK6TkpKwevVqo1XKbjSPWpaM500D1AghriECw3AYTwr3ocBBgn6+yj5szZYg5cHB674o5GFmjTKVmex+v7DNV4BDxcq/8T9R0nti+cJClJMt/eaZiNMuI/GbZ6LuDDpG1geXDCq3d52cuI9mfOXEtn3AuM9PS5gFz3SoY9KZWghVwXWzKORhEcc2Ub9r+2XQFexNmzZh5syZGuVjxozB8uXLMX36dKNVzG54SQAm4O0W8q3gRUx2eDA4JNITEAvV+7QFM+6DwSBXZSqzlCzNfmHN+ThTR7en8oR0vLAQCcL+ar6UXu7g/iXqDpqZkEs3YSHQyFNO7I5HI/f5yb3RdKk2DaZj0hk3cI+/CGYPton6XRODrmBfvXoVsbGayeGjo6Nx5coVo1XK3jSVaN5OBQCFQIjhz0iR2A0YGQwkdlMOSixvVO/TFoF8zte7ein7qRbxjNGgfJyE6IMmSDGEg6LOoHJi2wp5OlIVwUJHOAJaJ53RpljwYJuo3zUxKMD29vZGcbHmr06ZTAY/Pz+OVxB9VHFc7QGAKoE3wkIkGoMQBzgp+1wnsc0YhUPoinw0tL4Z4RmpPEhAM9/1EPkR5Mkl+PGGN7BRAtw4YvyNIsRG1MCNp9zEHStvHFHur6u9LXq/rZILecoNHvJDbMB3LtM1ZnRoALDNxYLveLeYdKYRTnq95CoisQAPxoaYtN+1lRwb7I1BAfZzzz2Hd955B7m5uaqyCxcu4J///CfGjRtn9MrZi2wn7iljzzkPgawCSNoHjExT/pVVAFKOPm3OaEKDOEJtJqnmCWWk0cquJYAyuD6AOHRFPtxZOVCZD6TF0Q5JCI8GAfeUNg0CE55BbxxR7qeV+UCDZe+3fMezbKcYE9eEWIL/c5PCuVWZ8/1yS6N2vj0pgSw2FZmiJ3W+7rogAqMF6ShwUJ5zTdrvugOPDVzxB9GfQZcUPvroI4wbNw79+vWDr68yRdWdO3cwcOBAfPDBBx1SQatXLrs/k2KRsl9Xi5kUAWWD/adwBb7BH4jAdVV5Prrgf51WIKNV0vqMm8B5Z+4+bc7eEmDiAY3ylvmuP7syBc7yVhM/syZg/xRgiqx920pIBygsUuajda0rQq0oBF3ipCYd5HjbMQRBjTc4ykMRZKpK7J+i3E9bstD9dqP/CkQUnkIoHtztvIFgbPRfgaFmrBcxD5+7R3nKuSdwMpfmZACtz7cj/VcgtFD9/Nyaf4AEQ30k6FoN9HeSQcpS4LFf/ZzfYZm8OujYwPd56JpfgzxgUIAtFotx6NAh7N+/H6dPnwYA9O/fH/Hx8XBwMOhiuG1rDqrLrgJ3c4CmFjPAlGSori6rGnCdBCMEhzSmkq0tl+BWq26LeRXAH85eeITjbbVNH92c7xrX7oFzfEZ9WZs2lZCOVFgkg2DnCAxh909uDcCNnUdR+MwhkwXZ15uC0JezPJCzvEPU88y7bIH77d06gLXKi8TAcJe6YNslhULOeatcoWgy7BZ6B2udDCBcIcPishT0qi7CRXSHH27DHTWcr3X1ClaeX8tlQFq8eoq/kgwUxqUjeT8wrTIFwawIxYIQJBdLseEZSfuD1Q46NlByhPZrU6e4uLg4mliGD9cO1lJFnjL4fjxVrQEXOEgwGeqZEpzquVdRX889OvHanWr011U/Fx/lbSSNcm9dryTE5G6mz8Jgpn7lKJRdx6n0WQhLTjNJHYSMe3/jK+8QVrTfTrk9C2H4U60sDH9iyu1ZAEzznRHL0QBHOKKJp9xytEwGoDa3ROsO5K21GO/EmT+7Ig8302fhq6oc9VzgFRlYeSwdK8a280JBBx0bKDlC++nVvt9//33MmjULO3fu1Pq8v/71r8aok3XTkaAeAFCtvHXK14CbCR2ARo6rzb0V5zifH1p/Xnf94jYq+2e1vKUkcFSWE2JhutZk8JRnmqwOA8C9vw2AHvubsVjRfhvNuL+zaGa674xYjjq4wA2aty/q4cIzfNg8WiYD4JpbgpNroNp4J7782V1rMtEJ6tM8RiEPT5WkAGhnCtIOOja0To7QjCbN0Z9eAfbixYuRnJyMV199FQIBd8oqgUBgdwE2V5+qoPIiuOp4nbwkC8LV3vhW4YNn5Rvxm3AY5/OGBgIN5TK120prPKRwqoJyasdWHPTJJhY6DJiwX9k/q75M+Ss3bqOynBCige82tklvb1vRfst3GKJkh/ZJ4ODCeb6Cg8jkddFGGq3sY5xXwT+3RGsNDq5wPvDqg77WPPmzHQTckyx1Zu3IBd5yfFfICODuBaCp2mjHBmk0UFisGX9Ioy109k0LpFeArVAo946mJs3bPPaKbwDAV40hGK7ldQyAUF4NyIEAlOMgRmGk/IBGkB0mBtYNliHolyFwYn+qXvxy5XbUdxoE3LmlsW7Hztyj9zWEDrO4gVGEcDmr6I+R2MdR3g8jTVQHJ59I4J7m/ubk09VENbjPSvbbGwhFIDQ/rxsIQaAZ6kPMyyn4EeCGZtcgp2A9z1cm0jIZwL2rIeDo1aJGAcC5Oh+ozlcWXEsDPLoorx63vJrsGQlHz76cn0GXoDbmAufqiuoZCTx3VC2JQntImAz7FPFwYg+6tbygyIATs+Ap7i2MQRdhHnnkEVy8eLHdb1pXV4fhw4dj6NAHY8p37NiByMhIiEQixMbGIjs7W7WssbERb7zxBry9veHl5YUZM2agsZEnebSJ8A0AmCOX4irUE9RXwB3HEYsquGpcxXGCHGnCRMQGAhEeQKy/ckKZw88AYSenwalevS+jA6uH653f0ejSWa280TUM7iOXG2nrCLEMFQLum8h85R3BpzLHoHJ71wu5BpUT2+YePhKtr9+y++WWpjkZwHY/zfN4PsLwA8bjdwwEA0fw1FQF3MtVD64d3YFR6+A+cjka3dXX1+geCY+hbUxVyNPXG5lGnH4+MwVOVerv4VRl5PewcQaNMbhy5QqcnPRLus5HLpfjxRdfRH19PRwdlW9//fp1JCcnY+vWrXjsscewcuVKTJo0CRcuXIBAIMCyZctw+vRpVdD93HPPYenSpZg/f3676tIefP2nbwglGC1I18gIUuAgQZ28dTZQJV/FTZx4lmPBn3xpjBrg1DkacHZX9ucWB8OpeZDF3iTelICEWBsvxp141YuZcJryJp7kr3zldk7E0d9WWzmxcZnvaVxYEtwvx0N/N0OFdBN6SzD6Jvd5PE8u0b+7U1MVkLsaeDwVThPT73fpaHHObuv5maevd/P4rjZpnVK4nKcPenvew84YFGAPGzYMmZmZiIw0fArRZjNmzECPHj3wzDPPYO3atQCAtLQ0xMfHY+zYsQCA+fPnY+nSpTh37hwGDBiA7777DosXL0ZoaCgAYO7cuViyZIlZA2y+AQD9fIFDdRJMZpoDF7iTFQFw4J75DAqujmtKp4oqsCJyJ6Rx93NS8qQHUhuAQYiVkYtDAI4fs3Kx6aZZZuDuP8xXbu8UcIADR6dbZTmxN6yplnv/aaqz2P1nem9gyxXNzF4A4AOetHg8asuLleOyvCTA4+0c0HhfpXMIPLgWtPW4yBU/OPIk/TXhsdfaGXS8i4+Px7x583Ds2DEcP35c458u8+bNg0KhwCeffKJWfvnyZYSHh6seC4VCREZG4vLly5zLu3fvrlpmLtJo4FnnIyiQh6JO7oxquQgHFfGQyGVo4hjPEOgKXHXlmWah8xDucjf+HosXm4Kx+YqyH7isAgbdMjpSDEhSAe+vlH+P0A9SYqG6Py7FzVY9d28iEN0fN90scHw/c/l//nYMa9lvL/LM2MhXTmxbE08YbckjulbnAl0UMuyWj0a1XIQ6uTMK5GEYJj+CGgcfg9Z1uta4AamsAnjqjmYXFpkgEv0LpG07NnDFD01VmkF2y5SERCeDrmC/9dZbAJRXslsTCASQy7lmMFFat24dLl26hO+//15jWU1NDYKC1OdEE4vFqKqqUi13dXVVW1ZTUwPGGG9Wk47mUnIEW2vj4NTiMDGC7UOvG48iF9/idcFqdGVXEYSbKEEQahSR6D9mIRp356r1q2506QynkWs43+PMoM3oe3QUnFrNDFMFF3RlV7FJkYQFZVKkZEmQquctoyPFQNyPUP0IKG9QPt4/HhhGP0yJhXEuzURAq/RWAbiJW6WZgIkmmrmCSPTkSNmlLDcNa9pvdzu9gD6NJ9TCKgbgV6cXTDcxD7EYl9AdfXGBp9wyVd+W4QSLQWeUqsq64Ab2YRSu9V6Ghux/wLnFuZ/vbtZVROJzNyl4LqG1SUoWUFAJnEdfuKMSgAAnEIPZWIGCJglQ2YZjA1/80Kkv4B2p6tZC3U4No3eAzRjD77//Dm9v7zbN2piTk4Nff/0VYrGyb4VcLodcLodIJMJLL72Ehgb1bO719fWq57q5uaktr6+vh6urq9mCawBwPDBFLbhuFogS/IJx8GQPZm/sinygJgON+zLwosNWTBSsVvXr+tJJilSBBBKOKdWfPT8MITiALXgZgbgFBQSQQwB31ONRZOJRlolYZCClLB3w5E4P1Pp2zpQD0LjC3sSU5bKk9n4qhBiXx2+vcfbf9PjtNWDgiyapw00EcgbYynLTsKb99q2adzm/szdr3gVgmX1uSce5gm6cAbay3MLcPw+vvf0rfHFHY7ET5HDPXooDGIFhOApHyCEAU7sI1gBHnEdfXBD0wQJIMdTbuAGpvKzFJDj39YP6gGuDjw086QXhHWm0bi32SK9I+ebNm+jfvz8GDx6MqKgo/PWvf4VYLEZ4eLjaP22WLVuGuro61b81a9bg0UcfRV1dHQYNGoQLFx7sgHK5HJcuXUK3bt0AKLuEtFyem5urWmYubk2aO18zT1RxljtV5WFi3WpMdkhFnPAAJjuk4nitBB8elAE7hgOXNwNFh5R/dwyHR60MvwmHIVx4AyJhA74XPA93qE/vGIU8zKxJUf6y9GzVN57jds49ntkhy3jKCTEnZ1bLU266AXMP43eDyjuCNe23rjyDGfnKiW1z5ZtenKfcbJr7IV/ezBlcN+uMG3gC++CGejijSeMOszOacEHQB5MdUuHoLYE02rjVnFmjOQlOFPKwBOrdQQ06NugZPxDD6BVgL1myBOXl5fj666+xadMmFBUVYd68eUarxPjx43Ho0CHs3r0bVVVV+PTTTxEQEICBAwcCACZNmoRPP/0URUVFKC4uxmeffYbnn3/eaO/fFkJB23pgBnMkln/mxmygulC9sLoQB+sHY5MiCeEK2f3Xct/GGeRarLxtMyEd6J4IhIxU/uUY4Ojjwl0vb55yQsxJwdN/05T9n13AfabiK+8I1rTfck+pwV9ObNsgnOYpP2PimuigzyzM0C9oCmbFiPBQ5tWWeLZYUC5TZvr6YaTyb7nhee0HuXLHAa1jC4OODXrGD8QwenUR2blzJ1auXIlnn1XmkgsLC8Po0aPxxRdfwMWl/Uf48PBwrFu3Dm+99RaKioowcOBAbN++XdUFZM6cObh27Rp69eoFgUCAhIQEzJ07t93v2x4Czyig/KxGeRO0f6jFAs1OUX9hJzif64u7SGKbEYsMjFako1gQwnmWcvVSrlMmkCDFIRVFDkCIAyAVaKaD3zhKvS8nADgKlOWEWJpr6I6eHLeX89AdvUxUB0uYmdCa9tsGOEDE8RNIWU7sjY+givO85SMwYapNffD1Q26DYkEwJB4cwbURMn25eoWg1bAU1Xs2a8uxQZ/4gRhGryvYJSUl6Nv3QW+poUOHQi6X488//9TyKu2Sk5Nx7NiDPM8JCQm4du0a6uvrkZmZif79+6uWOTs7Y82aNaioqEB5eTnWrFkDZ2funNKmIgrk7j12QjhaI6F8sxvCSCzAg1su4QoZNimSdKb9iUIePnVIwf/cpagRc9/GaZ5ZcvMV4FAx1DOMtDAsWDn4IcID8HZW/rXEgVKEAIBP2CDO8k485R2hiecnM195R7Cm/fasE/cEInzlxLYxnlsXfOVmw9cP2UBXoTzPB7dO5WusyWFipBoxxlVEYrFACg/Hth0bZBVA8k4ZnriUhJTCkXjiUhKSd8o04gdiGL3OEHK5XC2Lh0AggJOTk9lnUzSnwj5SKK5mIFzxYIe5hkg4j14NpwAod5qyPKC2BHALQqVbJEZfVyaqB5TBdeuBCtokBBUjYaIEKG+RrN7JExAw4MCrKK4MQVOlFHB48Jszr0I54jh1tPq6hgVb3sAoQrg0DJZCdiMDEvZgP5EJIuE42HR9AyvhAV+OH8HKctMZJpZBFtBiILRYCku8xvSN10IMun1IrW9qI4T4xmshKFGf/SmHB/w5+jSXwQMBZqgPrxip8opyiyBY7uiOu00unPVvlo8wnMFD8EKlakIazr7XxpocxksCp4npqDyWguslxfhTEIyfg6RIHypRv2IOaE4ew5MFZOUxGb6qaBGPMCC2IgMrj6VjxVjLO8ZYC70vwSQmJkIkenCDr7GxEa+88grc3B5MWbx3717j1s6Czb8gwTGWjiUC9ZmehhZIENMNGiNv39gHXGrxeDmbrXdwDeBBNpDmZPWtbjcNAbDvfleSghZBdjHPjJOEWIP5FyQ4Bo797IIEqca54KRTNdw4A2xluYlY0URSQ8tWawz8coIcj5WtBqCZ4pXYtt/xEJ7APo3y03gIT5ihPrya+yG3mG1RGCPFk9uB7bUjEIHrqqdWwQ3n0B/XBJGqGR4B5d2lceHKeTI0gl2+K+RtmbjFSwKPcanoA6APgNFczzHgmDGuhHvg5FMlKQDHZDtEP3oF2FOmTNEomzx5stErY02KqoECB82ZnjqXPfi/7P4V5KJqILfF+TlcIcMY7OFcbxk84QCFeiYSrtG8HLebmkcSt6yTxm0qQqwI337W1YQ/HEvhhy7QvPpUCn90MVUltN1etrA0WkEK7it1gQoLnRmHdCghz/BWvnKz4pht8SE/GVCoXtfb8MXLgi1qF7MA5cBCzuAa4LxC3qGZOgw4ZvAlUOjMkZSB6E+vAHv9+vUdXQ+rwzdVeva9B/2e439SdtNoKVwhwxH2GNx4Ulb9LHgaCyDFSqcUPO5TrBzAyHVbh+d2U8uRxJGeMHqKIEJMiW8/M+UPx0CHcs60JYEOZaarhLFuL5tAtXMIuA5v1c4W2GGcdLi/OJzn3H/+4pBt+sq0wX8cU+AB9SxfESjUuJgFAPmVwPCdwEP+QEWD8vilCrg5rpB36MQtBhwzugSFABwJTXoocpTZTmiCmTYx3SgdGyONBtJkgG+DDEuQgmBWhGJBCBY0KGdWBLiD60NsOOfVMACohwi7AqUYIJZgPUvFikb+0byVziHw4FiHi2cwRnopAxDeX9KEWAlpNJBxU31fMvUPx0qFG2d5BU95hzDm7eUO9j9Mx0h8A+cWUVUDHPA/TMcYM9aLmIe7QxNngO0utOTJ0h/wqL7KWd6L5WCTIunBuf9+V5HCaqCwxR22NBmwa9z9sU+mzNRhwDHDY6gUjaUZcKpSv+LtWH9LOS+HGbujtewJEGJlcQ0F2G0k8QTiPWX4tLTVwID7MyuWOGk2xCVIQUSrX8ItnXd/HB8+LtG48p1xUz2fpqwCSL4jxVfIUOs31egeiSETpDjgZZRNJMTsJJ7Ktp+SpRxPYI4fjmG4xlnehae8Q5j69nI7vFr/H7XgGgCcocDU+v+A+mDbn3sKVwRylctFnOUWp5YjJx6A/sjGX9gfygf3z/2jFekAoHHRbdwuCXaNA149qP3cblSGHDPuD5xEZgpQuE9zm83UHa05O5rJPjMjowC7HebUcw8MmFmTgi+DNRtiV5anUdZMAWCt4xxUZWle+W6dDSQlCzhSLcFoQfr9HVk5+OtUgBQr6DYOsTEST81MOKbkDO5sSXzlHcLUt5fbIRbcef2jkWHimhBLcEMRgECOu7bKcstX5xIEUWW+RrkT1K/ARyEPR9hjUMDhwYW05sC7IR1TDkiQ3yr1N1+mL6Mw9JjR3P/8h5FAEcePCjN0R0vRIx6yZBRg64HvFsUg1yKAI0/kINdijVvb4QoZ+kNzYppmDgCeqF6NldXcV3haZgMpqlauT+1XMqTo2mh5J1tC2svctwiFPPNG8pV3GI4BWJbIywlAg2a5t3mnLiBmEsTTJZKv3NL83hCJIXr+OOTq/hmFPCxns/Fq/U7O17Q8txv9WNeWY4YFdUfji3WKq60j1qEAWwettyh4ZlRy9QpWu7UtL5Nh5e1RcG+q1fpeISjWa1DXACcZ1jDNrimfO6XDEvPiEtJWlnGL0AKzHViwxoBYON/4UbPcPwYUY9sfP54c0n64a+KatM3nblIEVmQYlla3lTHYiz6OMvzWoHl+bj63m/tY1xzcyyukWO6UgaBGnq4leubWNgZrj3X0msnRnmm7RYEYKeDW6ledW7CqIUo8gdSHZfi6Kh4BTfk63ytPHozpvZWDuFpqPahLyri7psxvNHBGKEIsXEoWEHTvCPLkEtyVeyNPLkHQvSPK/c9E+KdKN23gLasAkvYBI9OUfy11lrUljXPQCKFaWSOEWNI4x0w1IubUOif6g3ILHOR44wiwUQKs9lb+vXEEQm9ld8xUQSIOYCRK2jA9jhtq8b13itZzu9ZYo430PWa0nAl6a6kEsU3p2OqQiFNOI/GbZyIK4+4PcCyXofGHeOXAx6JDwOXNysflHClIjIAv1pEy64h16Aq2DlpvUVQWQlFTovYrRVFTAofKQtUvuspjKfCo0v3L9yoi8S6TYmiu7kFdHg3ct9auFRejpsI6Ov8Too9Ot49gPeJUJ2MflOMg4jDn9n7Y04A5c1/dMsTAUu6JZgaW0kQz5AGLuy904wgUaXFwYPcD/4ZyKNLi8Gn8fgy7OQyTK5RdLTYpkpDENhu8+kBFsdZzu7G7QxhyzGgd3Bc4SPASUpWDw6qByEPK1/lxxDNOVXnKOGec8buv8cU6Hg2Wl56Ui30F2G24taHtFkXt3ilwbdUP0wEKZfmryl9010uK0EdHta4jBKMFyhkYu1brMaiLp49UniIY/89KOv8TK2HC24FcFtx9WeNKlxOasODuywBumKQODXCEiONqm7LcNKxpsE8XBfcFhTCecmLb5HCAA8d4BQUcWt3nMK/avVPgytT3cwfWBJ9jU5A+SYaVx2R4qiQFXeRXIZe7Q9hUxbmeKrjBHTWaC8TBWs/txu4OYcgxo0jHxF3Nr5vPE89cLynWGee0iQX1B28L+wmw2zjVsJSlwIPnFkVDzT24crymvqZMVV4sCNHa8PIRhhGCw6oZofSaQCNGiqK8DITIH9TrKpRTtppyhjti4yxgem5vxS2DyjvCEQzH49jPU24afCfAYgvc30N5UpGGaUlRSmxXLVzhBM2Gqiy3HNrO5xImw4rb8UBNi2OhozvqvPviSFkgqpsYvFCJYkEwfnKbjlTBq+o5pfVIqakt1mjLdOWGHDP4xn61fh1fPPOnILhjAmwrSk/KxX76YGubNlQLvlsU10uKUQF3zmVlAm/V/3cFSXEVkepvC3ccRyxSBYlqwbXeE2h4SfBZ+IM+YamCRNUVcJoanRhNG/cZY5LzHKLkJrz2tVC8BoXorFZWiM5YKF5jsjpYwoyW+nIF92BuV57Za4ltuwN/g8rN5Z7Ah7O8TODNfSxsqoKoUyS6vbwT3/dMw5KwA/i1Ryo+fm6YMqd090QgZKTyrx4XJYzdHYLvmOHppNkvWxqtOfartWAxdzxzFZH4OaiDAt7mVIMGfpaWwn6uYLd1qmGeWxSXaz0wmGPwRiMc8Q/Xjdh+//Hfh0qQfDsd0yof5KtunvEJANwdgVgfINLbsJQ8fx8qQfy9VLPOcEdsnAVMz30WgzjzKp/FQ4g1UR1mDZXgsb2/qeWcXwApPh5quoO8JcxoqS+xsyNnmj6xs/2cbsgDnzh/hC8bXlIbLMzul//PXJXi8A/XjdhSEwfnFt3BGprP5+XzuF9UnsfT7cP86fG4jhlhYuDMHeB6i94tzf2ym/uH55UB2feAqha9ZR4cazTjmTUeUmzoyGOhlaQn5WI3Rzy+qcUrnYM5y1VipEDREaD6we3NfIQBECAMJRpPP4ARePuJBwN5JJ7AhmckSMlKRXG18tfjAAHQtaF9s9JZwgx3xLa1eZ8xosigAHDsZspyE/m5oOUjplb+YjfT1MGa9vc/hI/gEaRxlMfiETPUh5jXvwN/hqBV7yDB/XLgRXNUidPbTwxD/I79WI8p8EYZyuCNV7AR0ieGoWFPCWeKyYYq7nI1+o5jMXJ3CK5jRmUj8GO++vNa9stu/qHQnLKv5bEGUJY1iJXTvQeJlBcGN1joccgS2E2AnSKQYmarqcWvIhKfC6RYwfH8I8XAlAOARy2wq0GAMLWlAgRynfUBiB3kCGnVc6SjZqIz9wx3xLYZus90BH9hOU+56XLU1dyRYR/H4KO5d0ybi9Va9vclTe9gJ35WyyTSCCGWNL2DXWasFzGPQAX3nbBAhWVlghgWDEifHYa4AzKU1QPeLsDGUcryy02B6I58jdfkNwWhO8e6HsQPMvzYEI+IlrM4841jaTXzYqVzMFIEUpw9JGnzpDOtjxkjNX/3AtDsl936dVwZSYQCYAsF11rZTYB9tlFzanG+2Q+PFANxPwJNDNikSEEYu662PALXoeDpG5rPgvHZb0Dakx2yGYSYjCH7TIexgFHkL9/lzsX68t22DT6ydS83cafpe7mJ0vTZJQvYh/U1LBiQJWmWFwij0B2ZGuXXhZEaAXbr+EEtuAYejGPh6vZwvzuEISn2DJn9sa1jOfgykoz6ETgwnoJsPnYTYIeIgUMOEkxudUIc2qphySqAJ34GYpqO4GtM4R35fg/euIpIjat7CyDFzULleqjREWum7z7TkQr7SIHLR9T2w0KEAX2kre4qdZxOcu4rcJ3klnUFzlJ0ZtyfV2dGn5c9KuwjheDyEbXsMjcQBmbCfbi99ntOR0xNGjzxoPPyVUTiW18pWt9UmnJAd/ygaxyLvin2DA3EqxoAkRCoa/H7V5+xHHwZSfIrle9vifn4LYHdZBHhGiXbumE1N9ZBDUdwAHHoinzeWai64yqSsQ6pgkQcRyyuIQK34IclSEFgo8ykM80R0hH02Wc6vA4nAXmruRTlEEB60nR1aOC5DtFgUVl8LQd9XqSlZWeBplb7cBMEWHbWTBUyVLkMf7/9qlpwXQF3JGMdSp007+b1qNYdP+i6et886cwmRRL2y0dikyIJ4QqZWlcO2f0ryPrM/tgc26QVPAiuRUJgfIR+wXHLK9+t69VURvEOH7u5gq3PIKHmX417MUVtJDEXD1RhP0bjNusEb5RBjHp0RT4eZZmIRQZSykzbP5MQY7OEgXWPl6QgAppdtMaUmK57xkP4w6Bye0efF2lpHM8+/JQJ9+F2yUxB5yb1bh6eqMLrgtVY16jZ5WlNk/b4odE9Ek46Bi7qmnSmOWDOr+R+fes+1c2xTbhChuVsNh7BCUAO3LgZCwlbAV2xijQaKCyWYVbFLIzBXrg1p9y8Xy+Kd7jZTYAN6B4k1HwbxAf39FqfCxoRgpsa5VHIw8waKzl4EKKFuQfW8Q2QCjDhACk/3Dao3N7R50VasoR9uD1qy4s4J6AJZsWcfZeDhPfAFV83QohvBS9ijYMUGwQSreGorklnuLqQqNWtVb2ar4gfYsMR0aLbSlDVj8APfwATD2nNLS1hMuxTxMOpVZ2a60XxDje76SKijxCxshE66rh6rY9BrtZx8CDEklULuC+XVwtMlSgQrW5u6y63d/R5kZbuOnIPcrzraHmDHLmcruWu/y2HYM7uck6u3BPWFCIMkx1ScaRaorNLha5JZ7RNbc7VjS9EDCxns9SCa5Wq6zonD6s8lqI+M2Urf3HiX2bP7OoKti4f9ZKh8WI8PDimdTWUq1fHHzwKi2S4vj8FrnVFqBWFoEucFGEhdJuG2A5P1BhU3hEsJWC0lv3dUj4vYhn+z12KiKqjat1E8tEF/+cuxQjzVUtvn7tJEVihma50m68UL3L9/o/bCKTFAUx9wpq/YqPqMdd05Wp0ZF7hywYS4cHdp/qjXjL4X9zL+3a15cWcV+kBZf/tkutFWnPYO9Rxpy22Be057tIV7BbCclLQleMWiMEc3ducHF5fhUUyKNLiMaRiMwY1HMKQis1QpMWjsEjWoe9LiCl1U5zjLI9SnDdZHWohMqi8I1jT/s4MLCe2zd0J0Pz22f1yyyf0VqYrTRUk4gBGIlWQiNGCdLj58gRZocOACfsBjwhUCbxxDREYhf34Tfigv7autHiIkSonmWmpxaQzfAPQ+VLmheWkQNTcb5rD6Vr+C4IpWUCJXPvAmxuN3lqXWxJZheZU8Xzae9ylALslvqmhDeHoDjy1S2t/JmO4vj8F4Qr1HwPhijxc36/9Vg8h1kTIuLtrOfKUd4S5+JgjPFCWm4o17e+VPHPbVcLFxDUhliDpXopG14QIFCLpnuW1XS7SaMDRW4LJDqmIEx7AZIdUOHpLtGdTCh0GTJGhdPI9PO4jUwuu9crE1DzpTPdEIGSk8m+LyWmaB6AndgNe9JfhmDgJ551HQpKRpJw5sjUtsU0+uuBzN/4LgvIyGR7CGa3VDWq8yv2+FqZ5cOjmK8ChYuXf+J/4g+z2Hnepi0hLfLdldChCAC6hD1w8gzFkAs80qEbmWse9w7jWU99vYjvqBK6clz7rBKa7evy44AAEreoguF8O/N0kdbCm/d2J57qNE3USsUu8/YkbLa/tcmlPNqV2ZWK6P+kM77qZDKl1s4HSPYC8DqgAcBPcM0XyxDbXEYoRgkMY6s0fs8ys0fyB1Jobq+KfPMeC6JtfvFl7j7sUYN8nqwBWNknxrvAoguTXdb+ghUvogzjhAYz0Ag54dVAFW6kVhQANHOUu1jFwhBB93BGGIbhJ8yB3WxgGU7X0YfiNs/wxnvKOYE37uxMaDSonts2a2i6f9mRT6pBMTOUyIC1eOStka1wzRcZIUSLLQFCjej/y0YJ03HHWfjW+j7Oed/Z5Js8xZKbJjsY3OJSvT3x72y51EYGyAQzfCawskOCE/CGDXx8BGcIVMt39qoyoS5wUBQ7qfbQKHCLRJa5j+34TYkp3RJGc5Xd5yjuCK6viLHdj7R8MrS9r2t8FPL2t+cqJbbOmtms1MlO4g+tmrYNdLwkKRqVjq0PLifH88bEgBftGyLQGvDkNet7Z55g8x9AuGR2tOVNc6wl8+GK39rZduoINYPYxoPD+udIL5bzPU0AAuUsgnOrVR8x2RT4OC+Lh0Mt0ydbDQiQonJCO3/anwLW+GLUuwRabVYCQttopmo5Hq75Vm7ihAY7YKZpusgwEdXCBC+p5yk3Dmvb3ajjDi2NAVTVcYKIbfMSCWFPbtRq6xou1CnZlFUBilgRNTIp9iEdX5CsnxlNkACcygIB03q6tXFlUGuCodkwucIiEQx8pwlq91tAuGR3to14yKC7HP+hXzYDHHDJ4Y7f2tl0KsAGcuPXg/8WCEN7h7g5gOO0UjcHO54DKfLVl4Yo8ICcFCDFdH6SwEAnC/mrZfZ4IaY+hZas1ZkVzRhMeK1sNQHMWtY5QLfCEF9O85FIt8DBpwGgt+7sjT19rOtnYL2tpu1ZD23ixFtlGmjUHupuQohYoA+DuUtKC0FuC0TfTsQQpCGbFKBYE439sOl4XrFY9XsCkGHpBgtRW1TK0S0ZHC8tJATgGLWqL3drTdu3mmKdvLsMFkCIWGZqN8D6HxkrAL0IjwAbA2weJENI2QTyzwAWacBa428JQBDfd4C43WS2sRxPPaaUJVpKXjRAL0zp+kcROR3BJhno3EaEI6PI4MHSFxtXo5kA3mPFc+dYSu0ijgfibEkyuUA8yf2t1gaMrR9DMl6/blN1p1fBd+e+g2M0uAmxVLsPmXy4NQEFaBgonpCMsRILYQODHfOWiAgcJkuXr8CvGwJ3jNmetSzDA1zg4+iARQtpO4OIJ1HKVm24mx0q3SKAig7ucaKgSeMKLVXKUm/aKPyG2gDN+2ZeB4tHrEJy/WhkcioOVV615unk0B7q8d+i5YpdyGZCZAkl1Ef4Qe+FiI4OwoQIFLASzmqQocFB/L66gWRoNZNxU7yaiV5rCjqJjAh9js4sA+/r+lAeN875wRR5+25+CsL+mYsUQ4PZNGd6oTkFXdhX9cI4zuL6BMGXndncoU+G0/PXIcVuGENI+Qp7uBnzlHSGq/1NgxzarvSO7X040VQgCEMJxpaxCEIC2JUIlxH7xxi8ZqxGsZ9eF5kB3QRnHHXqu2KVVlhJ3AIPvL3oIwEMOGRiuSFcF2XxBs8QTODhCefXdra4INaIQdBkhRZinmfrfx0hNGrvZRYCtK5ehhMlwSD4cTkx7rkef0Icgbu5WMiEdyExB3d08VJSV4FaNH8rTUmjwBiFG5NF0k7Pcnae8IwSena9RJmguH/iiyephLboqcgwqJ7avPdNN2ztj5MBvGejW1/rjFpPD0ysIIt9I7ivfOrKUhCvysNkzBSleqdpze5fLELY/HmEVD66+1//wPU65P47A+BWmbwPNE/hkpuh15b+97CLA1pnL8MB0ONVqD64BQNzytqeXBIV9pFCkxSNckY8A5AMVmWpdTwgh7ROg0Oz7DACBPOUdQV57B0LO8ruc5fbOietgC8qDba90ddEk2hklj3jrQBcAykoAzwDu9ywvgquOVQ7xKMaBCTqexBGou6AOg6t+REFajnnagI4JfIzJLvJgc+UyzEMkNnpKlXPKFx3Qb0XFR4BLW1UPrWn6YkKskbO8hqeco2N2B2ls4g4MG5u4A0l7x5ftmlEebLtE58n2MUoeca4r0vI6QPajsitIq2nOT9fq7sxV6RyMpH3AyDQgaR9Pbmst6QTN3gYubQX+5w78P0fl3xaxnbHYRYAdFiKBw4R0HHJPxCHBSKQKEhEnSMeaPyX4LS0FgEK/FTE5kP6S6ouwpumLCbFGAp6roQKOvNQdpUHAfS2nnqfc3il4ruvzlRPbRufJ9mmOX37zTMRpl5H4zTMRDnpe+ZVVKIPf0/la8mY3p+lr4XM3Ka6CfxB3o3sknroj1T2BjLZ0gjBjG7i0VRnLNVUr47qmarXYzljsootIs7J6IIDVYhgOIQsPQyEXQgg57/MV4PkFcvA1oMeLNjEFLCGWzJUrhYiW8o4gFzhxXpZVCJxNVgdrwndM1XasJbaLzpPt15ZczLIKIHmnDNMqUxDMcrU/+X6auua+8m9VFeE8+uI8+sALlSiHJwCG7q6V6BMWjH82SVEgAzYhCcGsCMWCECwokyIlS6I+gQzXoMIWzNYGDr7GX97DeONq7CLAbu4D9oyCv9N+a1Vwgwtq4cB1ZpUrM4x0iZOiIC1D7fYXTQFLiPE48Nxd4ivvCPnO/eFTt4+jvB98TFYLQqwTnSfNY+UxGb6qiOed06OlO3/m4MpXzyC07gyGsOuq8quIxGiBMltIpCeQ/jQAT+Dmdhn2sRbrZkAsMpBS1mpGxPuDCqsOzobwxl61CyNmbQNyzSxxWsvbyC66iHD1AdOmSeiO/4TuRgPcOJc3CkQA2nfrhhBiHerl3H2H+coJIQ/QedI8xpVwzNoIQM7RVctXcQuxtWkIbRFcA0AU8rBMmILEbsrgujlTyMwazXVHIQ8zazj6VHtJ4P7MTtyemGMxbaA5htO3vK3s4go2Xx8wLtcQgVfEB7BhlATTN61FKntJI/9tMluLzfcf0xSwhHScGrjAgyMnvbLcNLo2nucpzzZRDQixbnSeND2+WRtP4mFcFURiNNuHIOhOdyoRFqt3+wAwyLUI4BjUOMiVv0+1JbWBZLYWqdAe2xmDXVzBrhXpP71BPiQ4Ui1BShbwrfBFPI9vUAkxGiFEJcR4Ht/gWyHlviXEFEoRZFB5R+DPikG4yHlOK3zlhBDj6xLEHfdcFURiskMqctFLr/Vw9ZN29eJet6uXdfSrN1VsZ7Ij3ocffohevXrBzc0NERERWLp0qdryHTt2IDIyEiKRCLGxscjOfnB1qLGxEW+88Qa8vb3h5eWFGTNmoLFR/5yqXGlu+BQLlA2kuBoQCYHvhS/CU1gFZ2ETPIVV+F74IkQ0GJ4Qk5jmsBENrW60NcAR0xw2mqwOvzs8wll+2iHWZHWwJr8hxqByQojxeQyVotFdPe4pFEZiAZT9nosFui888vaTjpEqZ0BsyYpmszZVbGeyAFsgEGDdunW4e/cufvrpJyxduhS7d+8GAFy/fh3JyclYtWoVSktL8dRTT2HSpElgTHmNaNmyZTh9+jSys7ORk5ODP/74QyNA5yOrAOZfkGBWp3TsdErEOcdY3HYIQYOjD5pabf5VPGh8wWJg7QjudfKVE0KMa1r8MIzCflxDBO7CG9cQgVHYj2nxw0xWhx9CliMfYWpl+QjDjpDlJquDNVnmuxnF8FcrK4Y/lvka8+YrIUQrLwmcJqYD3ROBkJFA90QsC38wvfkCaKbiK0QYMtzG6+4n3TwjYot1Y0J6u2ZEbE4pqDWvtpGYKrYTsOYo1sQSEhLw0EMPYf78+Vi1ahUOHTqE77//HgAgl8vh6+uLw4cPY8CAAfjLX/6CxYsX4+mnnwYAfP/991iyZAnOnDmjts7y8nLV/728vCCrUOZmzGvxRTWPhJV4KrOLXEtPAasuxg0EYwGkaqNlJZ7A1ivAa4eAOrnyV8/aEcCL3Tr60yHm0roN2ep7WgtZBRD9HXC7RZovP2cg63meqXk7qA5JO2R4ozoFwawYxYJgfCmWIvVZicnqoA9LabtHioEpP8ggxYPPKwVSbJwowTDruINMTMhcxz97PO62jonCFTJ8LEhBlLAY9a7BZpvCXles1hGMEdvpakNmGeQol8tx6tQpJCYmAgAuX76M8PBw1XKhUIjIyEhcvnwZAwYM0FjevXt3XL58Wef7pGSpf2GA8nFKFpA6+n6n++RUyCqAtVlA12pgqBiQRj/4Ul/sRgE1IeaSkqUeXAPKx837sClIPIHUZyVIyUpFcbXy7lZqtOkCfGuzOhfId5BgMlI1yinAJsR8JPeD1pQs3D+WSRATnWr2Y5muWK0jmCK2M0uAPW/ePAQEBOCpp54CANTU1CAoSH3QklgsRlVVlWq5q6ur2rKamhowxiAQCMCnqJq7vLhVucTTdCdrQoj+9N2HOxodI/RnKd8ZIUSTJR7LbPWYYfJh3R9//DF+/PFH7Ny5E0Khske5m5sbGhrUL1PV19dDLBZzLq+vr4erq6vW4BoAQpQvR7hChk2KJOyXj8QmRRL6O8mMuEWEkI4SItbcf8MVMgSLzV0zwoe+M0KIIWz1mGGyK9iMMbz77rvYvXs3jhw5onbFunv37tizZ4/qsVwux6VLl9CtWzfV8gsXLqBPnz4AgNzcXNUybaTRQGPhEaypHgdPVN2vCPDCrQygvH0d8gkhHe+jXjIILo14MAECA0YIjoL1OgS1GcOIxaDvjBBiCFs9ZpjsCnZiYiJOnjypEVwDwPjx43Ho0CHs3r0bVVVV+PTTTxEQEICBAwcCACZNmoRPP/0URUVFKC4uxmeffYbnn39e53tKmAxb6lsE1/c5VeUBmRwzDhFCLErYH7M0ZhcLZdcR9scs81SI6ETfGSHEELZ6zDDZFexvvvkGQqEQfn5+qrKIiAhcvXoV4eHhWLduHd566y0UFRVh4MCB2L59u6oLyJw5c3Dt2jX06tULAoEACQkJmDt3ru43zUyBsKmKe1k1/4xDGsplyoC8uggQhyhzPdLVb0I6XkkGT3mmaetB9EffGWmNzqFEG1McM8zQBk3aRUSbhIQEJCQkcC5zdnbGmjVrsGbNGsPetJp/ivRK52D9ploulwFp8UBF3oOykox253wkhOjWJJdzHqSa5E3mGaFNdGpi3CcWvnJi4+gcSnTo8GOGmdqgbc9dK+aeqagC7kgR6DnjUGaK+pcCKB9TFxNCOlxZk8igcmJ+fwi5Z778Q0gzX9olOocSHTr8mGGmNmjbAXaMFEVC9ZmKKuCOsdiFc416/mrhuwpuSBcTQkib3BSGcZaX8JQT81vmwT3z5TIPmvnSLtE5lOjQ4ccMM7VB2w6wvST4LDwdqYJEHMBIpAoS0V9wDr8Jh+mf/oXnKjjENGMCIR2tzDWSs7ycp5yYn9BbghGCw2rH3RGCwxB6U3cAu0TnUKJDhx8zzNQGbb5L3N+HShB/L1VjCk5ptH6vL+wjheJqBsIVD24vFDhEwqGPFHQNjZCO5fiIFFf3ZCAKD/a/q4iE4yN6dvEiJieNBuJvSjC54sFMjoYcc4ltoXMo0aWjjxnmaoM2H2BrTg2qPhW6LvMvSHCMpWOJIAXBrBjFgmAsYFIMvSBBKs+PIkKIcawqkOCYIB1L0GL/gxRDCySI6eBpbknbtPeYS2wLnUOJLh19zDBXG7T5ABto39SgRdVAgYMEk5GqVt7VyqfwJMQa0P5nnSxxOmZiHrQPE3105DHDXG3QtvtgG0EIT19ta5/CkxBrQPsfIdaN9mFibuZqgxRg6yCNVvYFaon6ExJiGrT/EWLdaB8m5mauNmgXXUTag/oTEmI+tP8RYt1oHybmZq42KGC6pli0IuXl5ar/e3l5mbEmxFqZow1RuyXGQG2XWCNztSFqu6S9dLUh6iJCCCGEEEKIEdlsF5GWvywIsRbUbom1orZLrBW1XdIR6Ao2IYQQQgghRkQBNiGEEEIIIUZkU4McCSGEEEIIMTe6gk0IIYQQQogR2UWAXVFRgZkzZyIpKUmtfMeOHYiMjIRIJEJsbCyys7NVyxobG/HGG2/A29sbXl5emDFjBhobG1XLc3Jy8Mgjj0AkEiEyMhLbt2832fY0+/DDD9GrVy+4ubkhIiICS5cuVVtuzdu3fPly9OnTB25ubvDz88Mrr7yC6uoH85pa87bpq6ioCGPGjIGrqytCQkLw+eefm7tKJqerjdujuro6DB8+HEOHDjV3VXiPra3ZQ1vW97NYvHgxHBwc4OjoqPo3YcIEE9Wy4xi6r9pDmzAHbe1L23nTFnVE7GcQZuPS0tKYUChkAoGAJSYmqsoLCgqYh4cH27VrF6uoqGBSqZT16NGDKRQKxhhjH330EYuOjmaFhYWssLCQRUdHsw8//JAxxphCoWA9e/ZkUqmUVVRUsF27djF3d3eWn59v0m378MMP2fHjx1ltbS07d+4cCwwMZL/88otNbN+3337LsrOzWUNDAysuLmYDBgxg//3vf21i2/Q1ZswY9vrrr7N79+6xjIwM1qlTJ3b8+HFzV8uktLVxe9TU1MQmTJjAYmJi2JAhQ8xaF75jKxdbb8uGfBaLFi3S+RxrZOi+auttwlz42peu86at6YjYz1A2H2A3a93o/vvf/7Jnn31W9bipqYl5eXmxP/74gzHG2KBBg9iPP/6oWr59+3Y2cOBAxhhj586dY35+fmoN86mnnmIrVqzo6M3Q6vnnn1c1BFvZPoVCwXJzc1nPnj3Z4cOHGWO2s23alJWVMUdHR1ZWVqYqmzlzJps1a5YZa2V+Ldu4PZo6dSqbO3cuW79+vdkD7Ga6AkZ7asv6BM+2GmC3pm1ftac2YWp87UvXedNWGTP2M5RddBHhcvnyZYSHh6seC4VCREZG4vLly5zLu3fvrrYsLCwMAoGAc7k5yOVynDp1Cr179wZgO9vn5uaGAQMGYM6cORg2bJiqfrawbdpcvXoVHh4earNDWWI9Tal1G7c38+bNg0KhwCeffGLuqhiE2rKmrVu3QiQSoUuXLvjXv/4FZmO5BnTtq9QmOhZX+9J13rQX7YkfDGW3AXZNTQ1cXV3VysRiMaqqqjiXi8Vi1NTUgDGm87XmMG/ePAQEBOCpp54CYDvbV1tbi5ycHKxYsQLbtm0DYDvbpo211NOUWrdxe7Ju3TpcunQJa9asMXdVDEZtWd2bb76Ju3fvoqqqCjt37sSOHTuwYsUKc1fLqHTtq9QmOg5f+6LPXKk98YOh7DbAdnNzQ0NDg1pZfX09xGIx5/L6+nq4urpCIBDofK2pffzxx/jxxx+xc+dOCIVCALa1fd26dUNycrIqwLalbeNjLfU0Fa42bk9ycnLw66+/QiwWQyQSYdq0aTh+/DhEIpHFz0JHbVldQEAAPD094ejoiEGDBmHGjBnYvXu3uatlNPrsq9QmOg5f+6LPXKk98YOh7DbA7t69Oy5cuKB6LJfLcenSJXTr1o1zeW5urtqyK1euQC6Xcy43FcYY5s2bhy1btuDIkSMICgpSLbOF7WupsrISLi4uAGxv27hERUXh3r17KC0tVZVZYj07mrY2bk+WLVuGuro61b81a9bg0UcfRV1dndptdktEbVm7qqoq+Pn5mbsa7WbIvkptwnSa25eu86a9aE/8YLA29dy2Qq07uufn5zOxWMx++eUXVllZyT788EPWrVs31eC3Dz/8kD388MPsxo0brKioiMXExDCpVMoYUw6869GjB5NKpayyspL9+uuvzN3dnV27ds2k2/TSSy+xkSNHsnv37mkss/btS0hIYKdOnWK1tbXst99+Y4GBgaqBB9a+bfp6/PHH2euvv87KysrYyZMnWadOndjRo0fNXS2T0tbG7ZmlD3IcNWoUW7VqleqxvbRlfT6LefPmsZMnT7K6ujqWmZnJOnfuzH766SdTV9XodO2r9tomTI2vfek6b9oqY8Z+hrL5APuXX35hvr6+zNXVlbm4uDBfX1+2du1axpgyFZxEImHOzs4sOjqanT17VvW6+vp69tprrzEPDw/m6enJXnvtNVZfX69afu7cOfbwww8zZ2dnJpFI2LfffmvybQPAhEKh2r/IyEjVcmvevsmTJ7MuXbowkUjEevTowdatW6e23Jq3TV/Xr19ncXFxzMXFhXXu3JmtXLnS3FUyOV1t3F5ZQoCt7dgaHh7OFi1apHqurbdlQz6LWbNmqY5tPXv2VD3P2unaV+2tTZiLtval7bxpazoq9jMETZVOCCGEEEKIEdltH2xCCCGEEEI6AgXYhBBCCCGEGBEF2IQQQgghhBgRBdiEEEIIIYQYEQXYhBBCCCGEGBEF2IQQQgghhBgRBdg2jjGGMWPGYNCgQaisrDTaektLS/Hcc8/By8sL7u7u2Lt3L+fzrl27hsDAQEilUqO9NzGtESNG4LXXXjPqOo8dOwaBQID8/HyjrpcQY2GMYe7cuejcuTNcXFywaNEiREVFmbtahBArQQG2hcjPz4dAIMCGDRuMut4VK1YgKysLu3btgoeHh9HWO3/+fNy4cQP79+/HiRMnMGDAAERERGDJkiVqz+vatSu2bduG999/H5mZmUZ7f0II6UibN2/GV199hY0bN+Ls2bO4cuWKuatECLEijuauAFEKDQ2FTCaDn5+f0dZZUVGBJUuW4P3330fnzp2Ntl4AOHHiBGbOnInBgwfrfO7w4cPx4osv4r333sO+ffuMWg9CCOkIJ06cwOjRo/H4448DALp3746srCwz14oQYi3oCraJXbhwAU8//TT8/Pzg5eWFwYMH4+uvv0ZJSQkkEglOnToFAEhOToZAIND49+9//1u1rm+++Qb9+/eHSCRC165dsXDhQjQ2NqqWb968GU1NTZg2bZpaHcrLy/HGG28gLCwMbm5u6NmzJ/75z3+qljc0NOCf//wnOnXqBA8PD0RHR6NTp05YvHgxAGWXgdzcXLz55psQCAQYMWIERowYgYKCAqSkpKjqeujQIdU6//73v2P//v24cOFCB3yqpKPdu3cPb7/9Nvz9/SEWi5GYmIjq6moAQGNjIxYuXIjw8HC4urqif//++Pbbb9Vef+XKFYwePRoikQghISEaXYY2bNgAR0dH7Ny5E0OHDoWbmxvmzp0LADhz5gzi4uLg5uaGTp06YfLkybh9+7ba67dt24a+ffvCxcUFYWFhWLx4MeRyuWr5iBEj8Nxzz2H27NmIiIiAu7s7kpOTUVRUhDfeeAP+/v7o1KkTZsyYgaamJtXrTpw4gVGjRsHb2xu+vr4YMmQIdu/ebdTPlliexYsX44svvsC2bdtUxzMun3/+OaKiouDs7IyoqCh8/vnnastramrwt7/9DYGBgRCJRIiJicGBAwdUy5vvXH7xxReYOHEifH19ERMTAwDYtWsXYmNj4eHhgcDAQIwaNQonT57suI0mdmHTpk3o2bMnPDw84O7ujgEDBmDjxo2q5VVVVXjjjTfg5eUFDw8PDB06FM7Ozmp312/evIm//vWv8PX1hZeXF0aOHIkzZ86YYWssXLsnfCd6UygUrEuXLuyFF15gf/zxBzt+/Dj79NNP2axZs1hhYSEDwA4ePMgYY6y0tJTJZDLVvzlz5jAvLy929epVxhhj69evZ97e3mz9+vUsNzeX7dy5kwUFBbH3339f9X5PPfUUmzJlikY9kpKSWL9+/diRI0fY2bNn2fr169kTTzyhWv7SSy+xLl26sLS0NJaTk8O2bNnCvL292aJFixhjjP35558sJCSEzZkzh8lkMvbnn39qlMlkMlZbW6v2vt26dWPLli0z7odKOtzw4cOZWCxmixYtYidPnmQ///wzCwwMZLNnz2aMMTZlyhTWt29ftnv3bpaTk8NWrVrFhEIhO3z4MGOMsbKyMhYYGMiee+45lpWVxU6fPs3eeecdBoDJZDLGmLI9A2AxMTEsPT2dXblyhclkMlZaWsp8fHzYX//6V3bq1Cl24MABNmjQIPbYY4+p6rdv3z7m6OjIPvnkE3bu3Dn2zTffMD8/P5aSkqK2DU5OTuzdd99l58+fZ1u3bmWOjo7M1dVVVbZt2zbm5OTENm7cyBhj7O7du8zT05O9/fbbLCcnhx0+fJgtXLiQffjhhyb65Im53Lt3jz333HNsyJAhquPZokWLWGRkpOo5a9euZWKxmK1evZqdP3+e/e9//2Nubm7sq6++Uj0nKSmJRUZGsl27drE//viDvfPOO8zJyYlduHCBMcaYTCZjAFhwcDDbtGkTu3z5MsvJyWEXL15kjo6O7MMPP2QXLlxg6enpbPbs2Wz9+vWm/iiIjdm+fTtbu3YtO3PmDMvOzmb/+te/mEAgYJmZmYwxxp588knWp08ftnfvXnb+/Hm2evVqJhAIVG2vpqaG9erVi02cOJFlZGSws2fPstdee435+fmxu3fvmnHLLA8F2CZUWlrKALAtW7ZoLGsdYLd09OhR5uzszNLS0lRl4eHh7IsvvlB73qeffsqioqLUnrN27VqN9fXp04dNnz6ds455eXkMAPvll1/UyiMjI1UBdvO6pVKp2nO4ylqaMmUKS05O5l1OLNPw4cPZ1KlT1co+++wz5uXlxa5du8YEAgHLzc1VWz527Fj22muvMcYY+/e//82Cg4NZXV2davnRo0c1AmyhUMiamprU1rNw4UIWERGhVn758mW1fWXYsGEsKSlJ7XWrV69mIpFI9SNv+PDh7NVXX1V7zkMPPaTxA/Thhx9mb775JmOMsZMnTzIA7Pjx47o+ImKDpkyZwuLi4lSPWwfYXbp0YQsWLFB7zb/+9S8WHh7OGGOqfWPfvn1qz3n00UdV7a45wD506JDac7777jsGgBUVFRlxiwjh5uPjw5YvX86OHDnCALDz58+rLRcKhaoAe/369SwkJIQ1NDSoljc1NTFPT0+WmppqympbPOoiYkJ+fn549tlnMWXKFDz++ONYuHChWjcKLiUlJUhISMA//vEPjB8/HoAyg0dBQQFmzZoFkUik+vfee++pZWUoLS1FaGioxjqnT5+ONWvWYPDgwZg9eza+//571NXVAQB+//13AMBjjz1mnI1uoXPnzrh165bR10tMr1+/figvL0dWVhYYY3jooYfU2uKePXtUbTErKwuxsbFwcXHRuV6hUKj2ODs7G4MHD1Yr79atG/z8/HD+/HnVc2JjY9Ve9+ijj6Kurk5tYFrr2/w+Pj4a7+/j44Py8nIAwIABAxATE4PRo0dj/Pjx+OCDD1T7B7FvlZWVuH79Ome7KygoQGVlJbKzs8EY43xOc9tt1rrdx8XFITIyEn369EFCQgKWLl2KixcvdszGELtSUlKC+fPnIzY2Fl26dIGPjw/KyspQVVWFzMxMdOrUCX379uV9/cmTJ/Hnn3/Cw8NDdbwXi8WorKykrFCt0CBHE9u+fTsOHTqEffv24fjx4/jwww/xxhtvYN68eRrPbWpqwvPPP4/evXvj/fffV5UrFAoAwPLlyzFq1Cit79eyT3azt99+G6NHj8ZPP/2ErKwsTJ06FZGRkcjIyFAd6J2cnNqzmZwYY7x9GYl1aWhoUHt87NgxuLu7q5W5ubkBABwcHPQKrrnwtZnW5a2fwxjjLG+Ja1nLMicnJxw7dgx79uzBwYMHsXv3bqSkpOCzzz7DnDlzDN4WYnv42l3r/7d+jq7joI+PD7Kzs/Hjjz/i6NGj2LJlC959911s2bIFCQkJ7a84sUu1tbWIiYmBWCzG7Nmz0bNnT3h6emLs2LEAlO1Z17FaoVCgR48e2LFjh8YyYyZpsAUUYJtQU1MTHB0dMXLkSIwcORIA8Mknn+CTTz7hDLDnzJmD/Px8nD59Wu0KR0BAADp37oxLly7hzTff5H0/f39/FBYWapQ3Njaid+/e6N27NwAgMzMTsbGxuHDhgirP67lz5/Dwww8btH2urq6oqanhXV5UVAR/f3+D1kksU0ZGBiIjIzFw4EAAQGFhISZOnMj53KioKKSnp7fpffr164eNGzeq9h0AuHz5Mu7cuaO6ytK3b18cP35cbV84fvw4RCJRu/IWNzY2wsnJCePGjcO4ceMAAG+88QY2b95MAbad8/DwQJcuXXD8+HFVcAIo2114eDg8PDxU7bM5G0mzEydOaL1CCCjbnkgkQkJCgiqgfvLJJ7F161YKsEmbnT9/HtevX8f58+fV2mDzBbWuXbvi1q1buH37Nm+wPHDgQGzYsAGenp4IDg42Sb2tFQXYJpSdnY3p06djzpw5GDhwIMrLy7F7925ER0drPHfr1q1YtWoVtmzZgurqalXGBnd3d/j5+WHx4sV444034OHhgYkTJ0IkEuHEiRM4evSoakRw//79NW5FAsBDDz2EadOmYdSoUXBwcEBqaio6deqEyMhIiMVixMTEYObMmVi5ciUaGhrw1Vdf4dq1azq3r1+/fvjuu+8wYcIENDY2IioqCkFBQarlx44dw9tvv93Wj4+Y0ZkzZ7B//34EBwfj6NGjWLlyJdasWYMePXrgpZdewvTp03H79m08+uijqK2txZ49eyAUCvHuu+9i6tSpWLlyJRYuXIjnn38ely5dUrsjo83MmTPx3//+F6+++ipmzZqFiooKzJkzB0OGDMGIESMAAAsWLMCTTz6J/v37Y+zYscjJycF7772HOXPmQCQStXmbf/nlF/y///f/8Le//Q09e/ZESUkJjh49iqFDh7Z5ncR2LFiwALNnz0Z4eDgeeeQRHD9+HCtXrsTKlSsBKIOVl19+Ga+//jr++9//IiQkBF9//TWysrKwdu1arev+8ssvcezYMUybNg0RERG4du0azp49S8dP0i5du3aFSCTChg0bMHXqVJSUlGDr1q24ceMGAGDs2LEIDAzE66+/jvfeew9lZWX48ssv1TIyJSUlYenSpXjyySchlUrRo0cPFBcXq879Y8aMMdfmWR6z9f62Q3fv3mUzZsxgUVFRTCQSsaCgIJacnMxu3bqlMchxxIgRDIDGv5aDsr755hv28MMPM5FIxDw9PVl0dDRbvXq1avmXX37JfH191QYjMMbYBx98wAYMGMDc3d2Zj48Pe/zxx9nvv/+uWp6Xl8dGjBjBXFxcWI8ePdjy5ctZRESEzkGOV69eZUOHDmUikYj5+/uzU6dOqZYdO3aMAVCNnifWY/jw4axHjx6sR48ezMXFhYWGhrL//ve/quUNDQ3s/fffZ926dWNOTk4sICCAPfHEE2oDt77++msWFhbG3N3d2fDhw9mSJUs4BzlyOXXqFBsxYgQTiUTM29ubJSYmslu3bqk9Z8uWLax3797MycmJhYSEsAULFrDGxka1bWg9UDMuLk5jkOOYMWNYYmIiY4yx/Px8lpSUxMLDw5mLiwsLCwtjf//731l1dbXBnyGxProGOTLG2IoVK1jXrl2Zo6Mj69q1K1uxYoXa8qqqKvbmm28yf39/5uzszAYPHsz27t2rWt48yPHo0aNqrzt79ix75plnWEhICHNxcWGRkZFs8eLFGoOACTHUzp07Wffu3ZmLiwvr3bs3W7lyJQsNDVWdzzMyMtjAgQOZk5MT69KlC1u5ciUTCoXsm2++Ua2jpKSETZ06lQUFBamel5SUxPLz8821WRZJwBhPRzFi9SorKyGRSPDZZ5/hlVdeade6oqKikJSUpMqFbajnnnsOlZWVvFOqE0IIIcSy/PnnnwgODkZmZibn3XbCj7qI2DAPDw+kpKRg/vz5mDhxIry9vc1Sjz179iAtLQ0nTpwwy/sTQgghRLetW7fCw8MDEolENRt0//79DR6TRWgmR5v39ttvY+DAgZgwYYIqFZ8p5ebm4qWXXsKiRYtoByWEEEIsWG5uLqZOnYqBAwciISEBvr6+2Lt3L2UAawPqIkIIIYQQQogR0RVsQgghhBBCjIgCbEIIIYQQQoyIAmxCCCGEEEKMiAJsQgghhBBCjIgCbEIIIYQQQoyIAmxCCCGEEEKM6P8Dl/TlwZIQxbYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 864x216 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#predict target using normalized features\n",
    "m = X_norm.shape[0]\n",
    "yp = np.zeros(m)\n",
    "for i in range(m):\n",
    "    yp[i] = np.dot(X_norm[i], w_norm) + b_norm\n",
    "\n",
    "    # plot predictions and targets versus original features    \n",
    "fig,ax=plt.subplots(1,4,figsize=(12, 3),sharey=True)\n",
    "for i in range(len(ax)):\n",
    "    ax[i].scatter(X_train[:,i],y_train, label = 'target')\n",
    "    ax[i].set_xlabel(X_features[i])\n",
    "    ax[i].scatter(X_train[:,i],yp,color=dlorange, label = 'predict')\n",
    "ax[0].set_ylabel(\"Price\"); ax[0].legend();\n",
    "fig.suptitle(\"target versus prediction using z-score normalized model\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cc1a3833",
   "metadata": {},
   "source": [
    "The results look good. A few points to note:\n",
    "- with multiple features, we can no longer have a single plot showing results versus features.\n",
    "- when generating the plot, the normalized features were used. Any predictions using the parameters learned from a normalized training set must also be normalized."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "032a2bda",
   "metadata": {},
   "source": [
    "**Prediction**\n",
    "The point of generating our model is to use it to predict housing prices that are not in the data set. Let's predict the price of a house with 1200 sqft, 3 bedrooms, 1 floor, 40 years old. Recall, that you must normalize the data with the mean and standard deviation derived when the training data was normalized. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "76c7cb01",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-06-17T05:04:24.664898Z",
     "start_time": "2022-06-17T05:04:24.651897Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-0.53  0.43 -0.79  0.06]\n",
      " predicted price of a house with 1200 sqft, 3 bedrooms, 1 floor, 40 years old = $318709\n",
      "[-0.53  0.43 -0.79  0.06]\n",
      " predicted price of a house with 1200 sqft, 3 bedrooms, 1 floor, 40 years old = $318709\n"
     ]
    }
   ],
   "source": [
    "# First, normalize out example.\n",
    "x_house = np.array([1200, 3, 1, 40])\n",
    "x_house_norm = (x_house - X_mu) / X_sigma\n",
    "print(x_house_norm)\n",
    "x_house_predict = np.dot(x_house_norm, w_norm) + b_norm\n",
    "print(f\" predicted price of a house with 1200 sqft, 3 bedrooms, 1 floor, 40 years old = ${x_house_predict*1000:0.0f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f09e1130",
   "metadata": {},
   "source": [
    "**Cost Contours**  \n",
    "<img align=\"left\" src=\"../work/images/C1_W2_Lab06_contours.PNG\"   style=\"width:240px;\" >Another way to view feature scaling is in terms of the cost contours. When feature scales do not match, the plot of cost versus parameters in a contour plot is asymmetric. \n",
    "\n",
    "In the plot below, the scale of the parameters is matched. The left plot is the cost contour plot of w[0], the square feet versus w[1], the number of bedrooms before normalizing the features. The plot is so asymmetric, the curves completing the contours are not visible. In contrast, when the features are normalized, the cost contour is much more symmetric. The result is that updates to parameters during gradient descent can make equal progress for each parameter. \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "7eaf05ae",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-06-17T05:04:27.072715Z",
     "start_time": "2022-06-17T05:04:24.666900Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt_equal_scale(X_train, X_norm, y_train)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d4abb151",
   "metadata": {},
   "source": [
    "\n",
    "## Congratulations!\n",
    "In this lab you:\n",
    "- utilized the routines for linear regression with multiple features you developed in previous labs\n",
    "- explored the impact of the learning rate  $\\alpha$ on convergence \n",
    "- discovered the value of feature scaling using z-score normalization in speeding convergence"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9ef342c8",
   "metadata": {},
   "source": [
    "## Acknowledgments\n",
    "The housing data was derived from the [Ames Housing dataset](http://jse.amstat.org/v19n3/decock.pdf) compiled by Dean De Cock for use in data science education."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "aaee8061",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.5"
  },
  "toc-autonumbering": false
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
